MATHEMATICS HIGH SCHOOL

Eliza Savage received a statement from her bank showing a checking account balance of $324.18 as of January 18. Her own checkbook shows a balance of $487.38 as of January 29. The bank returned all of the cancelled checks but three. The amounts of these three checks are $15.00, $77.49, and $124.28. How much did Eliza deposit in her account between January 18 and January 29?

Answers

Answer 1
Answer: Assuming that the three checks that were returned were deposited before Jan 29 and was returned also before Jan 29, the three deposited checks will be added to get 216.77. Next, we subtract 324.18 with 487.38 to get 163.2 which is the difference of Jan 18 and Jan29's  balance. Then add 163.2 and 216.77 to get 379.97, the total amount deposited

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The interest that Julia earns on her investment is given by the equation I = 48t where t is the time in years that her money is invested. She makes a table to determine how much money she would earn for different values of t. She selects 5 as a value for t. What is the corresponding table entry for I?

A.
240

B.
53

C.
485

D.
9.6

Answers

Julia will earn $240 in 5 years from the interest.

What is interest?

Interest is the cost of borrowing money. The borrower pays interest, and the lender receives it.

Given that an equation I = 48t showing the interest earned by Julia in t years,

We need to find how much she earned in 5 years,

To find the same just put t = 5 in the equation,

I = 48 × 5

I = 240

Hence Julia will earn $240 in 5 years from the interest.


Learn more about interest click;

brainly.com/question/30393144

#SPJ2
Given:
I = 48t
t = 5

I = 48(5)
I = 240   Choice A.

X-y+z=-4

3x+2y-z=5

-2x+3y-z=15

How do I solve this?

Answers

1)\ \ \ x-y+z=-4\ \ \ \Rightarrow\ \ \ z=-4-x+y\n\n2)\ \ \ 3x+2y-z=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y-(-4-x+y)=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y+4+x-y=5 \n.\ \ \ \ \Rightarrow\ \ 4x+y=1\n\n3)\ \ \ -2x+3y-z=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y-(-4-x+y)=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y+4+x-y=15\n.\ \ \ \ \Rightarrow\ \ -x+2y=11\n--------------------\n

z=-4-x+y\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and\n \left \{ {{4x+y=1\ \ \ \ } \atop {-x+2y=11\ /\cdot4}} \right. \n\n\left \{ {{4x+y=1\ \ \ \ } \atop {-4x+8y=44}} \right. \n-------\ny+8y=1+44\n9y=45\ /:9\ny=5\n\n-x+2y=11\ \ \ \Rightarrow\ \ \ x=2y-11\ \ \ \Rightarrow\ \ \ x=2\cdot5-11=-1\n\nz=-4-x+y=-4-(-1)+5=-4+1+5=2\n\nAns.\ x=-1\ \ \ and\ \ \ y=5\ \ \ and\ \ \ z=2

the point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Answers

                   y - 1 = 0.25(x - 12)
                   y - 1 = 0.25(x) - 0.25(12)
                   y - 1 = 0.25x - 3
                     + 1             + 1
                        y = 0.25x - 2
          -0.25x + y = 0.25x - 0.25x + 2
          -0.25x + y = 2
    -1(-0.25x + y) = -1(2)
-1(-0.25x) - 1(y) = -2
           0.25x - y = -2

A 84-ft tree casts a shadow that is 47 ft long. What is the angle of elevation of the sun?

Answers

The angle of elevation of the sun is 60.8°.

What is angle of elevation?

This is the angle between the horizontal line of sight and the object.

To calculate the angle of elevation of the sun, we apply the formula below.

Formula:

  • tan∅ = Heigth of the tree(H)/Length of the shadow(L)
  • tan∅ = H/L............. Equation 1

Where

  • ∅ = angle of elevation of the sun

From the question,

Given:

  • tan∅ = 84/47
  • tan∅ = 1.7872
  • ∅ = tan⁻¹(1.7872)
  • ∅ = 60.8°

Hence, The angle of elevation of the sun is 60.8°.

Learn more about angle of elevation here: brainly.com/question/88158
Tan(theta)=84/47
Theta=60.8°

Given the data points (1, 4), (2, 9), and (4, 19), which of the following equations describes the best-fit line?A. = -1 + 5x
B. = 1 + 5x
C. = 2 + 5x
D. = 5 + 1x

Answers

"A." is the correct answer. if you plug in the x number to the given answers, "A" gives the correct answer for each piont

Find a23 in the sequence -18,-34,-50,-66

Answers

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