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3 years ago

Which side lengths could be the sides of a triangle? * A. 11.4, 11.4, 22.8 B. 21, 29, 39 C. 7, 9, 18 D. 3, 9, 16

Mathematics

1 answer:

MariettaO [177]3 years ago

5 0

Answer:

Step-by-step explanation:

Here, we want to choose out of the options the one that represents the values of the sides of a triangle

The important thing to note here is like a law that would help us resolve this.

The rule is that the length of the two other sides must add up to be greater than the third side

With this, we shall be shopping for answers;

According to the law, the only answer is B

It is only in B that the sum of the length of two of the sides is greater than the third

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Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

Simple interest

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

Interest compounded annually

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

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

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Answer:

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Now,

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or, y =2

Hope this will help please mark me as brainlest.

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Step-by-step explanation:

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