30 POINTS BRAINLY FIRST REAL RESPONSE
Step 3: Applying linear functions
Grace and Claire’s parents are saving money now for their college education. Function 1 shows the growth of baby Grace’s college fund over time. Function 2 shows growth of baby Claire’s college fund over time.








a) If Grace and Claire’s parents each invested $7,600 into a college saving account when the girls were born, how much money will each girl have for college when she turns 18? Explain. (2 points)


b) Do the functions show a positive or negative correlation between time and the amount of money saved? Explain. (1 point)

Answers

Answer 1

Answer:

For A

For grace the x would be the number 18

y = 1000 (18) + 7600

y= 18000 = 7600

and that would mean y = 25600

Now for Claire you have to use the method rise over run

The equation for claire is y=800x + 7600  

11600-10000/3=800

---------------------------------------

y= 800(18) + 7600

y= 14,400 + 7600

y= 22,000

This shows that Claire would have $22,000 when shes 18 and Grace would have $25,600 when she is 18.


Related Questions

Why are these triangles similar?​

Answers

Answer:

sas

Step-by-step explanation:

Please be honest :( I’ll mark u please help

Answers

The second answerrrrrrrrr

The owner of a health club decides to reduce the $35 membership fee by five dollars what is the approximate percent decrease in the fee

Answers

Answer:

14%

Step-by-step explanation:

5/35 = About 0.14

it's c

have a nice day mark me brainlist!

If 14 gallon of paint covers 112 of a wall, then how many quarts of paint are needed for the entire wall?

Answers

Answer:

168 gallons

Step-by-step explanation:

Correct question;

If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?

If 14 gallon of paint covers 112 of a wall, this can be expressed as;

14 gallons = 1/12 of the wall

x gallons = entire wall (1 wall)

Cross multiply

1/12 * x = 14

x/12 = 14

Multiply both sides by 12

x/12 * 12 = 14*12

x = 168 gallons

Hence 168galons of paints are needed for the entire wall

How many 2/3 cup servings are in 1½ cups of cheese?
lol I know this but I'm too lazy

Answers

Answer:

2.25

Step-by-step explanation:

1.5 / 0.666 (repeating) = 2.25

Answer:

There are 2 one-quarter cup servings in 1 half cup

In 5.25 cups there are 21 one-quarter cup servings

Step-by-step explanation:

So 21 quarter cup servings divided by 2 quarter cup servings per half cup serving will yield the number of half cup servings.

21/2 is 10.5, so there are ten and half, half cup servings in 5.25 cups

i really need help asap

Answers

Answer:

-7=k

Step-by-step explanation:

5k-3k-2=-16

2k-2=-16

2k=-14

k=-7

k= -7 should be the answer !

If h(x)= -4x-10, find h(-5).

Answers

Answer:

h= −4x−10/x

Step-by-step explanation:

Plz helplplpp this is due NOWWW

Answers

Answer:

Option 2

Step-by-step explanation:

1/4 is equal to .25 or 25/100

Answer:
Option 2

Explanation:
1/4 =0.25
0.25 x 5 = 1.25
1/4 x 5 = 1 1/4

Baden Company manufactures a product with a unit variable cost of $50 and a unit sales price of $88. Fixed manufacturing costs were $240,000 when 10,000 units were produced and sold. The company has a one-time opportunity to sell an additional 2,000 units at $65 each in a foreign market which would not affect its present sales. If the company has sufficient capacity to produce the additional units, acceptance of the special order would affect net income as follows.
a. Income would decrease by $20,000.
b. Income would increase by $20,000.
c. Income would increase by $140,000.
d. Income would increase by $40,000.

Answers

Answer:

I would say C because i got 130,000

Step-by-step explanation:

Unit Variable Cost is $50

Unit Sales Price is $88

Fixed Costs $240 000 (10 000 units)

Opportunity 2000 units at $65

Total Sales = $130,000

does anyone know the answer ?

Answers

Answer:

i think its inches per foot b/c it says what where the final units for this conversion i hope this is helpful.

Step-by-step explanation:

Evaluate (1 2/3)^3. A. 3 8/27 B. 4 8/27 C. 4 4/9 D. 4 17/27

Answers

Answer:

D. 4 17/27

Step-by-step explanation:

(1 2/3)^3 = (1 + 2/3)^3 = (3/3 + 2/3)^3 = (5/3)^3 = (5 * 5 * 5)/(3 * 3 * 3) = 125/27 = 108/27 + 17/27 = 4 17/27

Answer:

D

Step-by-step explanation:

[tex](1\frac{2}{3})^3\\\\(1+\frac{2}{3})^3\\\\(\frac{3}{3}+\frac{2}{3})^3\\\\(\frac{5}{3})^3\\\\\frac{5^3}{3^3}\\\\\frac{125}{27}\\\\\frac{(27*4)+17}{27}\\\\4\frac{17}{27}[/tex]

Round 4,368 to the nearest ten

Answers

Answer:

4,370

Step-by-step explanation:

If you are looking for the nearest ten in 4,368, you round up the number 8. Eight is greater than five and not less than four, therefore, the answer is 4,370. Good Luck on whatever assignment you're doing!

Answer:
4370

Explanation:
5 or more you round to the next number. In this case 8 is above 5 so you round to the next number of 68 which is 70

If the point (-1-5) is reflected across
x-axis, whot aro tho coordinates of th
new point? ?

Answers

Answer:

-1, 5

Step-by-step explanation:

With the graph, when you switch the x axis, you have to make the additive inverse for the y. If Y, additive the X.

Helpp meeeeeee plzzz (13 points )

Answers

Answer:

that they both have right angles and have a leath of 5

Step-by-step explanation:

PLZ HELP WILL GIVE BRAINLIEST

Answers

the answer is c

Step-by-step explanation:

it is because you have to times 3 and 4 and 3 and 9

Answer:

The answer is 27/ 12x - 9 = 28

Step-by-step explanation:

All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.

3 ( 4x - 9 ) = 28 = 12x - 27 = 28

Hope this helped.

♡(ŐωŐ人)

Question Attached below

Answers

Answer:

third and fifth

Step-by-step explanation:

Answer the following question:

Answers

Answer:

perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5

The diagram represents the enlargement of a rectangle by using a scale factor of 6.

A rectangle has a length of 30 feet and width of 6 feet.


What are the dimensions of the original rectangle?

Answers

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Step-by-step explanation: like what that peson said! way to go and good luck on your test!

In the diagram below, what is the ratio of unshaded parts to shaded parts?

4 shaded triangles and 12 unshaded triangles.
4 unshaded to 9 shaded
9 unshaded to 4 shaded
3 unshaded to 1 shaded
1 unshaded to 3 shaded

Answers

Answer:

The answer is D.

Step-by-step explanation:

I hope this helps :D

Someone help me out please

Answers

Caroline is correct because the equation y = (x-1)(x-5) is in factored form. If you solve the terms (x-1) and (x-5), you get the zeros (aka x-intercepts) of the graph.

Solve (set the terms equal to 0):

x-1 = 0     x = 1

x-5 = 0     x = 5

∴ the x-intercepts are (1,0) and (5,0).

The purple graph corresponds to the zeros in the equation, not the green graph. The green graph has negative x-intercepts, whereas the purple graph has positive x-intercepts like in the equation.

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a) Develop the appropriate null and alternative hypotheses. b) Assuming the standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the t-statistic

Answers

Answer:

The test statistics is   [tex]z = -1[/tex]  

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  100

  The null hypothesis  is  [tex]H_o : \mu = \$30000[/tex]

   The alternative hypothesis is  [tex]H_a : \mu < \$ 30000[/tex]

   The sample mean is  [tex]\= x = \$29,750[/tex]

    The standard deviation is  [tex]\sigma = \$2,500[/tex]

    The level of significance is  [tex]\alpha =0.05[/tex]

Generally the test statistics is mathematically represented as

        [tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]

=>      [tex]z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }[/tex]

=>      [tex]z = -1[/tex]    

From the desired test, we have that:

a)

The null hypothesis is: [tex]H_0: \mu \geq 30000[/tex]The alternative hypothesis is: [tex]H_1: \mu < 30000[/tex]

b) The t-statistic is t = -1.

Item a:

At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:

[tex]H_0: \mu \geq 30000[/tex]

At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:

[tex]H_1: \mu < 30000[/tex]

Item b:

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 29750, \mu = 30000, s = 2500, n = 100[/tex]

Hence, the t-statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}[/tex]

[tex]t = -1[/tex]

The t-statistic is t = -1.

A similar problem is given at https://brainly.com/question/13873630

Find the product: Negative StartFraction 4 over 9 EndFraction and Negative StartFraction 3 over 8 EndFraction
Negative StartFraction 1 over 9 EndFraction
Negative one-sixth
StartFraction 7 over 17 EndFraction

Answers

Answer:

c 1/6

Step-by-step explanation:

been there done that

Answer:

c

Step-by-step explanation:

i just did the test and got it right, hope this helps ^^

WHO IS RIGHT?
Drag the word RIGHT onto the character
that is right and drag the WRONG on
the character that is wrong. Explain
your answers below.
RIGHT
2(x + 6)=2x+6 WRONG
RHINO
LION
2(x + 6)=2x + 12
Explain your answer here
Explain your answer here:

Answers

Answer:

Right

Step-by-step explanation:

Trust me

Answer:

lion

Step-by-step explanation:

you multiply what is outside the parenthesis to everything inside the parenthesis

Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....​

Answers

Answer:

0/2 0/5 0/10

Step-by-step explanation:

Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.

A person places $1380 in an investment account earning an annual rate of 8.6%,
compounded continuously. Using the formula V = Pent, where Vis the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.

Answers

Answer:

3261.16

Step-by-step explanation:

r=8.6\%=0.086

r=8.6%=0.086

Move decimal over two places

P=1380

P=1380

Given as the pricipal

t=10

t=10

Given as the time

V=Pe^{rt}

V=Pe

rt

V=1380e^{0.086( 10)}

V=1380e

0.086(10)

Plug in

V=1380e^{0.86}

V=1380e

0.86

Multiply

V=3261.1618\approx 3261.16

V=3261.1618≈3261.16

Find the perimeter of a rectangle whose length is 4√5 and width is 3√7

Answers

Answer:

if you don't have a calculator you can just put the number under the radical like this

Step-by-step explanation:

4 * 3 * [tex]\sqrt{5 * 7}[/tex]

12[tex]\sqrt{35}[/tex]

this answer might be what a teacher is looking for.. b/c it's exact but... if you were needing to do real work.. you'll just need a close approximation,  then

12* 5.916....

70.99  is a close approximation

Which angle(s) is/are congruent? There may be more than one answer

Answers

Answer:

if they all have the same angle they r congruent

Step-by-step explanation:

If a car needs 5 gallons to go 160 miles how many gallons would it need to go 96 miles

Answers

Answer:

3 gallons

Step-by-step explanation:

as u can travel 32 miles on 1 gallon, 32 x 3 = 96 so 1 x 3= 3

Amy has an adjusted gross income of $85,600. For the house she is considering buying, her monthly mortgage payment would be $1,711.22, her semi-annual property tax bill would be $3,239, and her annual homeowner’s insurance bill would be $980. She has a credit card bill that averages $500 per month and a $475 car payment. What is her back-end ratio?​

Answers

Answer:

85,600:6,905.22

Step-by-step explanation:

11. Find the missing number 1:2 = 3:
O A. 2
OB. 1
OC.3
OD. 6

Answers

The given expression is :

1:2=3:x

To find,

The value of x.

Solution,

The ratio of LHS is 1:2 or 1/2

It should be same as in RHS.

If x = 6,

Then the ratio becomes :

1:2 = 3:6

or

1:2 = 1:2

Hence, the value of x = 6.

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