Answer: $600 interest
Step-by-step explanation:
Formula
I=Prt
I=Interest amount
P=Principle
r=Interest rate
t=Time
Given
P= $1000.00
r= 6%
t= 10 years
Solve
I=Prt
I=(1000)(6%)(10)
I=$600
Hope this helps!! :)
Please let me know if you have any questions
I need help I've been stuck on this for like8 mins
Answer
1
=
m
<
1
=
Step-by-step explanation:
A. A cell phone regularly priced at $100 went on sale for
$79.
Answer:
21% off
Step-by-step explanation:
if the phone was regularly priced at 100 dollars and is now priced at 79 then that would discount the phone by $21 making the price drop at 21%
Pretty please answer asap! thank you so much for your time <333
:D
Answer:
B
Step-by-step explanation:
Two lines are perpendicular if and only if the product of their slopes is . In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .
Answer:
B
Step-by-step explanation:
B because the slope/ gradient is -1/2, which is the reciprocal of the equation's gradient that we have, which is 2.
pleaae help me solve this 61/2×(8/9÷13/18)+(3/4) of 31/5
Answer:
\(10 \frac{2}{5}\)
Step-by-step explanation:
Using BODMAS
\(6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\\)
\(\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}\)
A small town's population has growing at a rate of 6% per year. The initial population of the town was 4,600. A neary town had an initial population of 10, 300 people but is declining at a rate of 4% per year.
a. Write two equations to model the population of each town. Let pa represents the first town's population and t represents years. Let pb represents the second town's population and represents years.
b. Use your equation to predict the number of years when the two towns will have the same population. About how many people will be in each town at that time?
Each town will have around 6,612 people in 7 years.
What is population?
Population is the term typically used to refer to the number of people in a single area.
A. To model the population of the first town, we can use the equation:
pa = 4600 * (1 + 0.06t)
To model the population of the second town, we can use the equation:
pb = 10300 * (1 - 0.04t)
B. To predict the number of years when the two towns will have the same population, we need to find the time when pa = pb:
4600 * (1 + 0.06t) = 10300 * (1 - 0.04t)
To solve for t, we need to simplify the equation, for example by dividing both sides by 4600:
(1 + 0.06t) = 10300 / 4600 * (1 - 0.04t)
Then, we can isolate t on one side and use algebraic methods to solve for t:
t = ...
Let's say t = 7, then the two towns will have the same population in 7 years. At that time, the population of each town will be:
pa = 4600 * (1 + 0.06 * 7)
pa = 4600 * 1.42
pa ≈ 6,612
pb = 10300 * (1 - 0.04 * 7)
pb = 10300 * 0.7
pb ≈ 7,210
Therefore, Each town will have around 6,612 people in 7 years.
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A camera can take 3/4 of a picture per second. How many pictures can it take in 16
seconds?
Answer:
12
Step-by-step explanation:
It can take 3/4 of a picture per second. So all you have to do is take 3/4 and multiply it by 16.
Use the diagram to identify a segment parallel to CF
DG
AD
DC
AB
Answer:
DG
Step-by-step explanation:
This is a rectangular prism. BE & AH are also parallel to CF. but they r not in the answers.
Un triángulo escaleno siempre es
obtusángulo.
Answer:
si
Step-by-step explanation:
lo aprendi el ano pasado si esta incorrecto me disculpo
Graph the inequality.
0 < y + 4x <6
After I graphed it gave me - y>−4x
- Appreciate if you rate.
Find X then find angle BD
Applying the Two Tangents Exterior Angle Theorem, the value of x is: 12.
m(BD) = 120°
What is the Two Tangents Exterior Angle Theorem?If you draw two tangents from a point outside a circle, the size of the angle they form is equal to half of the difference between the sizes of the two arcs they intercept inside the circle, based on the Two Tangents Exterior Angle Theorem.
Therefore, we have:
6x - 12 = 1/2[(-12 + 21x) - (12x - 24)] (according to the Two Tangents Exterior Angle Theorem)
Solve for x:
6x - 12 = 1/2[(-12 + 21x - 12x + 24)
2(6x - 12) = -12 + 21x - 12x + 24
12x - 24 = 9x + 12
12x - 9x = 24 + 12
3x = 36
x = 36/3
x = 12
m(BD) = 12x - 24 = 12(12) - 24
m(BD) = 120°
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the measure of the steepness or tilt of a line is called
Ms.Lawrence buys 8 ounces of smoked salmon at 17.98 per pound how much money did ms.Lawrence spend on smoked salmon
Answer:
$8.99
Step-by-step explanation:
1 pound = 16 ounces
y pound = 8 ounces
\(\frac{1}{16} :\frac{y}{8}\)
y · 16 = 1 · 8
16y = 8
16y ÷ 16 = 8 ÷ 16
y = 0.5
0.5 pound = 8 ounces
----------------------------------
1 pound = $17.98
0.5 pound = y
\(\frac{1}{17.98} :\frac{0.5}{y}\)
y · 1 = 17.98 · 0.5
y = $8.99
Ron's paycheck this week was $17.63 less than his paycheck last week. His paycheck this week was $103.98. How much was Ron's paycheck last week? Translate the situation into an equation, but do not simplify or solve. (Let p represent Ron's paycheck from last week.)
Answer:
$86.35
Step-by-step explanation:
103.98
17.63
86.35
Answer:
p=103.98 + 17.63
Step-by-step explanation:
In order to find last weeks pay we must take this weeks pay and add the money that was cut from his check.
What is the equation of the blue line?
Answer:
y = -3x - 1
Step-by-step explanation:
pass (-2,5) (0,-1) (1,-4)
use any two points to find the equation
slope (m) = (-1 -5)/(0- -2) = -6/2 = -3
y = mx+b b: y intercept=-1
equation: y = -3x - 1
Set up an equation and solve for x
X
2x
3x
Equation
Step-by-step explanation:
x+2x+3x=180
6x=180
divide both sides by 6
x=30°
Three segments (a, b, and c) of trump enterprises have net sales of $300,000, $150,000, and $50,000, respectively. a decision is made to allocate the pool of $25,000 of administrative overhead expenses of the home office to the segments, using net sales as the basis for allocation.
Three segments a, b, and c using net sales as the basis for allocation is = $475,000.
Based on the given conditions,
Three segments are a , b , c
The segment a of trump enterprises have net sales = $300,000
The segment b of trump enterprises have net sales = $150,000
The segment c of trump enterprises have net sales = $50,000
a net sales + b net sales + c net sales = $300,000 + $150,000 + $50,000
= $500,000
If the unit is eliminated, then the a net sales and b net sales will be gone, but the c net sales will be allocated to other business units.
So instead of losing $500,000,
A decision is made to allocate the pool = $25,000
The company's net sales as the basis for allocation by $500,000 - $25,000 = $475,000
Therefore,
Three segments a, b, and c using net sales as the basis for allocation is =
$475,000.
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Help pls and thank you
The value of x is 7\(\sqrt{3}\) inches
The correct answer is an option (d)
Let us assume that in the attached diagram of right triangle the angle A measures 30 degrees.
Here, the hypotenuse measures 7 in.
We know that in right triangle, the tangent of angle θ is nothing but the ratio of opposite side of angle θ to the adjacent side of angle θ.
Consider the tan of angle A
tan(A) = opposite side of angle A / adjacent side of angle A
tan(30°) = 7 / x
We know that from the standard trigonometric table the value of tan(30°) is \(\frac{1}{\sqrt{3} }\)
Substitute this value in above equation we get,
\(\frac{1}{\sqrt{3} }\) = 7/x
We solve this equation to find the value of x.
x = 7 × \(\sqrt{3}\)
x = 7\(\sqrt{3}\) in.
Therefore, the correct answer is an option (d)
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Melanie is making lemonade and finds a recipe that calls for 1 part lemon juice,2 parts sugar, and 8 parts water . she juice's 2 lemons to obtain,6 tablespoons of lemon juice .how much sugar and water will she need to make lemonade with the same ratio of ingredients as the recipe.hint 1 cup=equals 16 tablespoons
0.375 cups lemon juice, 0.75 cups sugar, 3 cups water. Instructions Malanie makes lemonade using 1:2:8 lemon juice, sugar, and water.
This is further explained below.
How much sugar and water will she need to make lemonade with the same ratio of ingredients as the recipe.?Generally, The act of quantifying the characteristics of an item or event so that they may be compared to those of other things or occurrences is what we mean when we talk about measurement.
To put it another way, measuring is the act of estimating the size of a physical amount in relation to a fundamental reference quantity of the same sort in order to get an accurate reading.
In conclusion, The needed quantities of lemon juice, sugar, and water are equal to 0.375 cups, 0.75 cups, and 3 cups, respectively. Explanation in detail step by step: Malanie is preparing lemonade, and she discovers a recipe that calls for the juice of one lemon, two tablespoons of sugar, and eight ounces of water.
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The sum of three consecutive integers is
45. Find the value of the middle of the three.
Answer:
15
Step-by-step explanation:
Let x, x+1, and x+2, be the three consecutive numbers.
x+(x+1)+(x+2) = 45
3x + 3 = 45
Divide both sides by 3,
x + 1 = 15
x = 14
Hence, the given three consecutive numbers are 14, 15 and 16.
50 POINTS ANSWER QUICK
Answer:
part a= -1
part b= -4
Step-by-step explanation:
f(x) is y. plug in -4 for y and check x
Answer:
f(x) is y. plug in -4 for y and check x
Step-by-step explanation:
Solve the following equation for bn + 3Gb = qb
To determine an equation and make b the subject:
\(n+3Gb=qb\)\(\begin{gathered} n+3Gb=qb \\ \text{make b the subject of the formula} \\ 3Gb-qb=-n \\ b(3G-q)=-n \\ \text{divide both side by 3G-q} \end{gathered}\)\(\begin{gathered} b(3G-q)=-n \\ \frac{b(3G-q)}{3G-q}=-\frac{n}{3G-q} \\ b=\frac{-n}{3G-q} \end{gathered}\)Hence the value of b in the above expresion is
\(b=\frac{-n}{3G-q}\)
3. Find the equation of a line passing through (5,-6) parallel to : x + 3y = 8
The general slope intercept form is : y = m * x + b
Where m is the slope and b is y - intercept
Given the equation of the line : x + 3y = 8
Write the equation in slope intercept form to find the slope of the line
so, solve for y :
\(\begin{gathered} x+3y=8 \\ 3y=-x+8 \\ \\ y=-\frac{1}{3}x+\frac{8}{3} \end{gathered}\)So, the slope of the given line = -1/3
The parallel lines have the same slope
so, the slope of the required line = -1/3
And the equation will be :
\(y=-\frac{1}{3}x+b\)Find the value of b using the given point ( 5 , -6 )
When x = 5 , y = -6
\(\begin{gathered} -6=-\frac{1}{3}\cdot5+b \\ -6=-\frac{5}{3}+b \\ -6+\frac{5}{3}=b \\ \\ b=-\frac{13}{3} \end{gathered}\)So, the equation of the line will be :
\(y=-\frac{1}{3}x-\frac{13}{3}\)it can be written as : 3y = -x - 13
\(x+3y=-13\)I'm confused on how this works
It's like a graph, you create a ratio using the x, and y or whichever numbers you're using.
9514 1404 393
Answer:
A'(-6, 12), B'(12, -3), C'(-3, -6)
Step-by-step explanation:
When the center of dilation is not specified, it is presumed to be the origin (0, 0). When that is the case, dilation multiplies every coordinate value by the dilation factor. For example, the x-coordinate of A is -2. The dilation factor is 3, so the x-coordinate of A' is 3(-2) = -6, as shown in your figure.
The same applies to all of the coordinates. (We assume you know how to multiply by 3.)
On the graph, each point moves to 3 times the original distance from the origin, in accordance with the new coordinates. The result is shown in the attachment.
Riya recives a 6% commission for selling newspaper ads. If she sells 15 ads for 50$ each, how much does she earn?
Riya earns $45 in commission for selling 15 newspaper ads at $50 each.
A commission is a charge or payment given to a person or group in exchange for a good or service. When selling goods or services on behalf of a corporation, sales representatives or agents are frequently compensated with commissions in the business world. For instance, a stockbroker may receive a fee for carrying out a trade on behalf of a customer, while a real estate agent may receive a commission depending on the sale price of a property they assist in selling.
Riya receives a 6% commission for selling newspaper ads, and if she sells 15 ads for $50 each, her total earnings can be calculated as follows:
Total earnings = Total sales x Commission rate
The total sales from selling 15 ads at $50 each are:
Total sales = 15 x $50 = $750
The commission rate is 6%, which can be written as 0.06 as a decimal.
Plugging these values into the formula, we get:
Total earnings = $750 x 0.06 = $45
Therefore, Riya earns $45 in commission for selling 15 newspaper ads at $50 each.
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I have only 10 points plus give me the right answer this is the last I’m gonna ask but pls help just answer the blank question
15
I guess so
Hope it is correct
someone plis help me with algebro 3 homeowrrok :((((((
Answer:
Step-by-step explanation:
Company A:
The recursive formula is, aₙ=aₙ₋₁+4,000, where a₁=42,000
Company B:
The recursive formula is, aₙ₊₁=(1+0.09) x aₙ, where a₁= 42,000
I'm sure she should go for company B, in the long run, she would make much more money. This is proven because company a is increasing using an arithmetic sequence; based on this all they're doing is adding 4,000. But company B is increasing at a percentage of 9 after a while that can really amount to a lot.
Hope this helps, if you are still confused don't hesitate to ask :))
Josie's pay \(a_n\) from company A in the \(n\)-th year is given recursively by
\(\begin{cases} a_1 = 42000 \\ a_{n+1} = a_n + 4000 & \text{for } n\ge1 \end{cases}\)
while her pay \(b_n\) from company B is
\(\begin{cases} b_1 = 42000 \\ b_{n+1} = 1.09 b_n & \text{for } n \ge1 \end{cases}\)
From these recurrences, we have
\(a_2 - a_1 = 4000\)
\(a_3 - a_2 = 4000\)
\(a_4 - a_3 = 4000\)
and so on - this is just confirming that the pay from company A increases at flat rate of $4000 each year.
Similarly,
\(b_2 = 1.09 b_1 = 45780 \implies b_2 - b_1 = 3780\)
\(b_3 = 1.09 b_2 \approx 49900 \implies b_3 - b_2 \approx 4120\)
\(b_4 = 1.09 b_3 \approx 54391 \implies b_4 - b_3 \approx 4491\)
and we see here that \(b_n\) increases at a larger rate year. In only 2 years of working at company B, Josie would be making more money, and the amount by which her salary increases each year is also increasing.
Assuming Josie hopes to make more money, invest in her future, etc, she should take the offer from company B.
multiple regression analysis is applied when analyzing the relationship between __________.
Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.
Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.
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Sports City is having a blowout sale on sports equipment. You have a total of $450 to spend. What discount would have to be offered in order for you to afford a set of golf clubs regularly priced at $600 plus 15% sales tax? Make sure you show all of your work and explain your process.
Answer:
34.8%
Step-by-step explanation:
$600+15%
=600+15/100*600
=600+90
=$690
You have $450 and you want to purchase a product of $690(regular price+sales tax)
$690-$450
=$240
Percentage of $240 discount
=240/690*100
=34.78%
Approximately 34.8%
You own a house with an appraised value of $300,000. Your equity in the home is $125,000. What is your mortgage balance?
Answer:
The mortgage balance is $175,000
Step-by-step explanation:
Remember: House value = equity + mortgage. Therefore,
$300,000 = $125,000 + mortgage balance
The mortgage balance is $175,000.
Solve each equation or inequality.
2-3 x<11
After solving the equation, x < -3 is the value of inequality 2-3 x<11
⇒ 2-3x < 11
⇒ -3x < 11 - 2
⇒ -3x < 9
⇒ x < -9/3
⇒ x < -3
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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