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MArishka [77]
3 years ago
10

Sandra saves 8% of her salary for retirement. This year her salary was $2,000 more than in the previous

Mathematics
1 answer:
Tanya [424]3 years ago
4 0

Answer:

\$40000

Step-by-step explanation:

Let's start by finding Sandra's salary this year.

We are given that she saved $3,360 or 8% of her total salary this year.

Let's represent her total salary this year as "x" and set up an equation:

\$3360=8\%x\\

Note that any percentage is equivalent to that number over 100.

$3360=\frac{8}{100}x

Multiply 100 to both sides:

336000=8x

Divide both sides by 8

x=42000

The question states "this year her salary was $2000 more than in the previous year".

This means that her salary in the previous year is equivalent to:

42000-2000=40000

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Answer:

x = 98°

Step-by-step explanation:

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x is an exterior angle and 53° and 45° are the opposite interior angles, hence

x = 53° + 45° = 98°

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3 years ago
The radius of a circle with area A can be approximated using the formula r = the square root of A/3 . Estimate the radius of a w
Arturiano [62]

Answer: 12

Step-by-step explanation:

Given:

A = 452

r = √A/3

Step 1: Substitute 452sqf for A

r = √452/3

Step 2: Solve

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3 years ago
2. Determine the prime factorization of each number. a) 95 b) 112 c) 164 d) 150​
Shalnov [3]

Answer:

In explanation.

Step-by-step explanation:

A). 95 = 51 × 191 where 5, 19 are prime.

-The prime factors of 96 thus obtained are written as 96 = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 31, where 2 and 3 are the prime numbers.

B). 112 = Dividing 112 by 56, we get 112 ÷ 56 = 2. Thus the prime factorization of 112 = 2 x 2 x 2 x 2 x 7 is obtained by writing the factor tree of 112.

-112  is a composite number. 112 = 1 x 112, 2 x 56, 4 x 28, 7 x 16, or 8 x 14.

-Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.

-Prime factorization: 112 = 2 x 2 x 2 x 2 x 7, which can also be written 112 = 2⁴ x 7.

C). 164 = The prime factorization of 164 can be written as 22 × 411 where 2, 41 are prime.

-The prime factors of 165 are 3, 5, 11. Therefore, the product of prime factors = 3 × 5 × 11 = 165.

D). 150 = Prime Factorization of 150: 2 × 3 × 52

-The prime factorization of 150 is 2 x 3 x 5 x 5 = 2 x 3 × 52 where 2, 3, and 5 are the prime numbers.

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3 years ago
A 14-ounce energy drink contains 42 teaspoons of sugar. How much sugar is one ounce of the drink?
Masja [62]

Answer:

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Step-by-step explanation:

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  • 1-ounce           ⇒  3 teaspoons of sugar
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Only 2 fits the descriptions, where 6 is multiply 2, 6 x 2. And we subtract 4 from it, 6 x 2 -4.

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