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Ksju [112]
3 years ago
11

This graph shows the linear relationship between the time in seconds, x, for Caroline's walk and the distance in meters, y, Caro

line is from her starting point. The graph passes through the point (20,30). According to the graph, how many meters will Caroline walk in exactly one hour?

Mathematics
1 answer:
serg [7]3 years ago
6 0
Caroline will walk 70 meters  in 1 hour.
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Audrey's bank account is currently at $75 a fee of 12.50 is deducted each month from Audreys she must maintain a balance greater
meriva

Answer:

5 months

Step-by-step explanation:

Current balance = $75

Monthly deductions = $12.50

75 - 12.5h

Where ,

h = number of months for deduction

she must maintain a balance greater than zero dollars

how many months will Audrey's account stay above zero dollars

0 > 75 - 12.5h

0 - 75 > -12.5h

-75 > - 12.5h

h < -75 / 12.5h

h < 6 months

h < 6 months means h must be less than 6 months which is 5 months

Audrey's account will stay above zero dollars for 5 months and will equal zero dollars in the 6th month

8 0
3 years ago
I need help with #2 (click the attached photo to view properly)<br>I will mark Branliest​
Shtirlitz [24]

Hi there! :)

\large\boxed{j(h(x))(2) = 31}

Solve for j(h(x)):

h(x) = x² + 4

j(x) = 4x - 1

Substitute in h(x) into "x":

j(h(x)) = 4(x² + 4) - 1

j(h(x)) = 4x² + 16 - 1

j(h(x)) = 4x² + 15

Solve at x = 2:

4(2)² + 15 = 4(4) + 15 = 31.

7 0
3 years ago
You invested $7,000 into a money market account for 10 years at an annual interest rate of 3%. How much is the accrued interest?
steposvetlana [31]

The total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.

<h3>What is invested amount?</h3>

An investment is a payment made to acquire the securities of other firms with the intention of making a profit.

We are assuming the interest will be compounded annually

\rm A = P(1+\dfrac{r}{n})^{nt}

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

P = $7000

r = 3% = 0.03

t = 10 years

n = 1

\rm A = 7000(1+\dfrac{0.03}{1})^{1\times10}

After calculating:

A = $9407.41

I = A - P = 9407.41 - 7000 = $2,407.41

Thus, the total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.

Learn more about the invested amount here:

brainly.com/question/16995381

#SPJ1

4 0
2 years ago
What is the value of the expression? 18 - 2 x (4 + 3)
Arturiano [62]

Answer:

=−14x+18

Step-by-step explanation:

happy to help ya :)

7 0
2 years ago
Read 2 more answers
Andrea, Justin, and Virginia went to an office supply store. Andrea bought 6 pencils, 7 markers, and 8 erasers. Her total was $1
olga2289 [7]

Answer:

x=0.25\,,\,y=1.75\,,\,z=0.25

Step-by-step explanation:

Let x,y,z denotes number of pencils, markers, erasers respectively.

For Andrea:

6x+7y+8z=15.75\,\,\,(i)

For Justin:

6x+8y+5z=16.75\,\,\,(ii)

For Virginia:

5x+5y+7z=11.75\,\,\,(iii)

On subtracting equations (i) and (ii), we get

(6x+7y+8z)-(6x+8y+5z)=15.75-16.75\\-y+3z=-1\\y-3z=1\\y=1+3z

Put y=1+3z in equation (i)

6x+7(1+3z)+8z=15.75\\6x+29z=8.75\,\,\,(iv)

Put y=1+3z in equation (iii)

5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25

Put z=0.25 in equation y=1+3z

y=1+3(0.25)=1.75

Put y=1.75\,,\,z=0.25 in equation (i)

6x+7(1.75)+8(0.25)=15.75\\6x+12.25+2=15.75\\6x=1.5\\x=0.25

8 0
3 years ago
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