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3 years ago

Helppp meee

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

8 0

Answer:

1. A

2. B

Step-by-step explanation:

I = Prt where I = interest, P = Principal amt, r = interest rate/100, T = time taken

I = Prt

I = 3600 × 5/100 × 4

I = 720

From I = Prt,

$t = \frac{i}{pr} \\ t = \frac{96 \times 100}{800 \times 4} \\ t = 3$

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The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle

Dovator [93]

Answer:

243 in²

Step-by-step explanation:

Step 1. Calculate the<em> base and height </em>of the rectangle

We have two conditions:

(1) 2b+ 2h = 72 in

(2) b = 3h Substitute in (1)

2(3h) + 2h = 72 Remove parentheses

6h + 2h = 72 Combine like terms

8h = 72 Divide by 6

h = 9 in Substitute in(2)

b = 3 × 9

b = 27 in

Step 2. Calculate the area of the rectangle

A = bh

A = 27 × 9

A = 243 in²

The area of the rectangle is 243 in².

7 0

3 years ago

The ratio of three numbers is 4 : 3 : 1. the sum of the numbers is 64. the greatest of these three numbers is

DanielleElmas [232]

Total value of ratio = 4+3+1 = 8

value of 1 unit = 64/8 = 8

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so, the greatest number is 32

3 0

3 years ago

Read 2 more answers

Lucy's family purchased one sweatshirt and 4 t-shirts for $110. Mark's family bought three sweat-shirts and 4 t-shirts for $200.

omeli [17]

T-shirt are 20 each and sweatshirt are 30

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3 years ago

a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c

alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

$x+y=28000$

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

$0.07x+0.09y=2200$

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

$(0.07x+0.09y)*100=2200*100\\7x+9y=220000$

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

$y=28000-x$

$7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000$

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

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