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7nadin3 [17]
3 years ago
10

A building 84 ft high casts a 231-ft shadow. Sarah casts an 11-ft shadow. The triangle formed by the building and its shadow is

similar to the triangle formed by Sarah and her shadow. How tall is Sarah?
Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0

Answer:

Sarah is 4 ft tall.

Step-by-step explanation:

231÷84= 2.75

11 ft ÷ 2.75 = <u>4 ft</u>

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If grapes cost .95 per 500 grams how much would 800 grams cost
nevsk [136]
500g = $0.95

100g = $0.95 ÷ 5 = $0.19

800g = $0.19 x 8 = $1.52

---------------------------------------------------------
Answer: 800g will cost $1.52
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7 0
3 years ago
Calculate the future value (in dollars) of $1,550 deposited into an account earning an annual simple interest rate of 4% compoun
RUDIKE [14]

Answer: the future value is $1748.4

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1550

r = 4% = 4/100 = 0.04

n = 365 because it was compounded 365 times in a year.

t = 3 years

Therefore,.

A = 1550(1 + 0.04/365)^365 × 3

A = 1550(1+0.00011)^1095

A = 1550(1.00011)^1095

A = 1550 × 1.128

A = 1748.4

8 0
3 years ago
Megan took out a student loan for $9,075 if she paid $4.537.50 in simple interest over 10 years what percent was her interest ra
madam [21]

Answer:

5%

Step-by-step explanation:

Solving our equation

r = 4537.5 / ( 9075 × 10 ) = 0.05

r = 0.05

converting r decimal to a percentage

R = 0.05 * 100 = 5%/year

The interest rate required to

accumulate simple interest of $ 4,537.50

from a principal of $ 9,075.00

over 10 years is 5% per year.

7 0
3 years ago
A fruit punch recipe call for 30 cups of orange juice and 18 cups of pineapple juice. If you only have 1 cup of orange juice, ho
tankabanditka [31]

Answer:

You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

Step-by-step explanation:

With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:

30 cups of orange juice → 18 cups of pineapple juice

 1 cup of orange juice    →                    x

x=(1*18)/30=0.6 cups of pineapple juice

According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

5 0
3 years ago
Help quickly!!!!! explanation needed. lots of points.
Usimov [2.4K]

Answer:

29.3

Step-by-step explanation:

to find average you find the sum of all the minutes she practiced and divide it by the total amount of day she practiced.

first we have to find the sum of the minutes she practiced:

20+30+40+38+25+22+39+22+26+31

this equation is equal to 293 minutes she practiced in total. Now we have to divide this by the total amount of days she practiced whice according to the data is 10! So:

293/10 =29.3

3 0
3 years ago
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