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3 years ago

Sam deposited $400 into her savings account that earned 4.5% interest per year. How much money did she have after 2.5 years?

Mathematics

1 answer:

Aleksandr [31]3 years ago

7 0

Answer:

$445

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.5%/100 = 0.045 per year,

then, solving our equation

I = 400 × 0.045 × 2.5 = 45

I = $ 45.00

The simple interest accumulated

on a principal of $ 400.00

at a rate of 4.5% per year

for 2.5 years is $ 45.00.

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Answer:

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Step-by-step explanation:

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2 years ago

Find the product (8/6n-4)(9n^2-4)

Leokris [45]

Answer:

4(3n+2) or 12n+8

Step-by-step explanation:

Given expression is:

$(\frac{8}{6n-4})(9n^{2}-4)$

The numerator of the fraction will be multiplied with 9n^2- 4

So, Multiplication will give us:

$=\frac{8(9n^2-4)}{6n-4}$

We can simplify the expression before multiplication.

The numerator will be broken down using the formula:

$a^2 - b^2 = (a+b)(a-b)\\So,\\= \frac{8[(3n)^2 - (2)^2]}{6n-4}\\ = \frac{8(3n-2)(3n+2)}{6n-4}$

We can take 2 as common factor from denominator

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Hence the product is 4(3n+2) or 12n+8 ..

6 0

3 years ago

At a blind taste competition a contestant is offered 3 cups of each of the 3 samples of tea in a random arrangement of 9 marked

solmaris [256]

Answer:

$\frac{5}{14}$

Step-by-step explanation:

Data provided in the question:

Number of cups of tea offered = 3

Number of cups marked = 9

Number of cups tasted by each = 4

Now,

The probability that a contestant does not taste all of the samples

= contestant tastes only 2 samples of tea

= $\frac{C_3^2\timesC_6^4}{C_9^4}$

C₆⁴ = number of ways to choose 4 cups out of 6 cups of two samples

C₃² = number of ways to choose which 2 samples will be tasted

[ as 2 samples × 3 cups each = 6 cups ]

C₉⁴ = Number of ways to choose 4 cups out of 9

= $\frac{5}{14}$

Hence,

the correct answer is option (B) 5/14

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3 years ago

The volume of this rectangular prism is 72 in³. What is the missing measurement for c?

chubhunter [2.5K]

Answer:

Step-by-step explanation:

The formula for finding the volume of a rectangular prism is lwh so u multiply 3 and 4 which is 12 and divide 72 by 12.

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2 years ago

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masya89 [10]

Answer:

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Step-by-step explanation:

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3 years ago