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3 years ago

PLEASE HELP ASAP GIVING 30 POINTS AND BRAINLIEST AND THANKYOU!!!!!!

Mathematics

2 answers:

trapecia [35]3 years ago

8 0

Part C. 19 and 8 are the 2 factors

WORK: since 56 + 96 = 152, and 152 goes into 8 19 times.

balu736 [363]3 years ago

7 0

Answer:

56 + 96 = 152 = 8 × 19

Step-by-step explanation:

The factors of 56 are:

1, 2, 4, 7, 8, 14, 28, 56

The factors of 96 are:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The GCF of these 2 numbers is 8.

56 + 96 = 152

The factors of 152 are:

1, 2, 4, 8, 19, 38, 76, 152

We need to rewrite 152 as 2 factors, one of them is 8.

The other is the sum of 2 numbers that do not have a common factor.

The other factor is 19 because it is the sum of 10 and 9.

Factors of 10:

1, 2, 5, 10

Factors of 9:

1, 3, 9

Other than 1, they do not have any common factors.

152 = 8 × 19

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3 years ago

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4 years ago

A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,

Darina [25.2K]

Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

$I=C(1+\frac{r}{n})^{nt}-C$

where

C = Amount of the credit granted

r = nominal interest per year

n = compounding frequency

t = the length of time the interest is applied. In this case, 1 year.

In the special case the interest rate is compounded continuously, the interest is given by

$I=Ce^{rt}-C$

(a) Annually

$I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)$

The effective annual rate is 18.6%

(b) Monthly

There are 12 months in a year

$I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)$

The effective annual rate is 20.27%

(c) Daily

There are 365 days in a year

$I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)$

The effective annual rate is 20.43%

(d) Continuously

$I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)$

The effective annual rate is 20.44%

3 0

3 years ago

(b) 3, 3, 5 and

makkiz [27]

Answer:

a 3,5,5,11

b 3,3,37,3

- 2,269

d 113, as it is a prime factor

8 0

3 years ago