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2 years ago

Philip is making chocolate cupcakes for a

Mathematics

1 answer:

kari74 [83]2 years ago

4 0

5/4 cups of almond flour is needed to make a batch of cupcakes.

<h3>What is an equation?</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let a represent the amount of almond flour needed to make a batch of cupcakes. Hence:

a = 5 cup / 4

a = 5/4

5/4 cups of almond flour is needed to make a batch of cupcakes.

Find out more on equation at: brainly.com/question/2972832

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a person invests 9000 dollars in the back. The back pats 4.75% interest compounded quarterly. To the tenth of a year, how long m

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Answer:

5.7 years

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=?\ years\\ P=\$9,000\\A=\$11,800\\r=4.75\%=4.75/100=0.0475\\n=4$

substitute in the formula above

$11,800=9,000(1+\frac{0.0475}{4})^{4t}$

Solve for t

$\frac{11.8}{9} =(1.011875)^{4t}$

Applying property of exponents

$\frac{11.8}{9} =(1.011875^{4})^{t}$

Applying log both sides

$log(\frac{11.8}{9})=log[(1.011875^{4})^{t}]$

$log(\frac{11.8}{9})=(t)log[(1.011875^{4})]$

$t=log(\frac{11.8}{9})/log[(1.011875^{4})]$

$t=5.7\ years$

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4 years ago

If a square has the perimeter of 15.2 centimeters, what are 2 equations that can determine the perimeter of the square?

astraxan [27]

Answer:

1) $P=4s$

2) $P=4\sqrt{A}$

see the explanation

Step-by-step explanation:

we know that

The perimeter of the square is equal to

$P=4s$

where

s is the length side of the square

we have

$P=15,2\ cm$

substitute

$15.2=4s$

solve for s

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The area of a square is equal to

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substitute

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therefore

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