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My name is Ann [436]
2 years ago
8

What is the volume of this composite solid? 16 m 5 m 12 m 9 m

Mathematics
1 answer:
son4ous [18]2 years ago
3 0

Answer:

864 cubic meters

Step-by-step explanation:

Rectangular prism = 5x9x12=540

Triangular prism = 1/2(9)(6)(12)=324

540+324=864 cubic meters

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Write an algebraic expression for the word phrase. five fewer than d days d – 5 5 + d 5 – d d + 5
Troyanec [42]

Answer:

(d-5)

Step-by-step explanation:

we know that

The phrase"five fewer than d days" is equal to subtract 5 from the number d

so

d minus 5-----> (d-5)

7 0
2 years ago
Read 2 more answers
Please help me out with this problem!
MA_775_DIABLO [31]

Answer:

C

Step-by-step explanation:

The red graph is the graph of y = f(x) shifted 1 unit right and then reflected in the x- axis.

Given y = f(x) then f(x + a) is a horizontal translation of a units

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here shift to the right of 1 unit, thus

y = f(x - 1)

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Note the y- coordinates are the negative of each other, thus

- y = f(x)

Now \frac{y}{-1} = - y, hence

The equation for the red graph is

\frac{y}{-1} = f(x - 1) → C

6 0
2 years ago
Determine the slope of the line that passes through the points (-4, 6) and (0,4).
gavmur [86]

Answer:

B.) m=-\frac{1}{2}

Step-by-step explanation:

use the slope rule

\frac{rise}{run} \\\\\\frac{y2-y1}{x2-x1}

Fill in values

\frac{4-6}{0-(-4)}

Simplify

\frac{-2}{4}\\-\frac{2}{4}

Simplify further

m=-\frac{1}{2}

Done.

3 0
3 years ago
Read 2 more answers
Four handbags and three school bags cost $2000 . The cost of the handbag is thrice as much as the school bag. If the cost of the
Annette [7]

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8 0
2 years ago
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1. A mortgage of $200,000 requires payments of $1395.40 per month at 5.7%
sashaice [31]

Answer:

a) How long will it take to repay the loan?

20 years

b) What amount of interest does the purchase pay?

$134,896

Step-by-step explanation:

a) How long will it take to repay the loan?

In the above question, they are asking you for the Loan duration

The Formula for Loan duration(T) =

ln (- m/(r÷n) × C - m)/In (1 + r/n)

Where:

m = monthly payments = $1395.40

C = Amount of mortgage =$200,000

r = Interest rate = 5.7% = 0.57

n = compounded quarterly = 4

T = ln (- 1395.40/(0.57÷4) × 200,000 - 1395.40)/In (1 + 0.57/4)

T = 20 years.

Therefore, it will take 20 years to repay the Loan.

b) What amount of interest does the purchase pay?

The total number of payments =

Loan duration × Number of months

Number of months = 12 months( because it is monthly payment)

Loan duration = 20 years

Total number of payments = 240 payments.

In the question, we are given the amount paid monthly payment as

$1,395.40

Total amount paid = Monthly payments × Total number of payments

= $1,395.40 × 240

= $334,896

The amount of Interest the purchase pay = $334,896 - $200,000

= $134,896

7 0
3 years ago
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