Banks and other financial institutions offer incentives for people to keep their money in a savings account? True or false?

The population of a small town is 40,740. It's population falls by 8% per year. How many years later will the population be 14,5

Mashutka [201]

Answer:

0.9101523758 ≈ 1 year

Step-by-step explanation:

The population of a small town is 40,740.

Its population falls by 8% per year.

Given: Compound interest Amount (A) = P( 1 + $\frac{r}{n}$ $)^{nt}$

14,550 = 40,740(1 + $\frac{-8}{100 * 1}$ $)^{t*1}$

14,550 = (40,740 - 3259.2 $)^{t}$

14,550 = (37,480.8 $)^{t}$

t * log 37,480.8 = log 14,550

t = $\frac{ log 14,550}{log 37,480.8}$ = 0.9101523758 ≈ 1 year

6 0

3 years ago

Find all the powers of 4 in the range 4 Through 1000

Anettt [7]

(4⁰ = 1 too small)

4¹ = 4

4² = 16

4³ = 64

4⁴ = 256

(4⁵ = 1,024 too big)

7 0

2 years ago

Read 2 more answers

Charles bought 24 blow-pops for $7.20. His little sister Tracy wants 11 blow-pops. How much will 11 blow-pops cost?

Norma-Jean [14]

$3.30 because taking the cost of 24, which is $7.20, and dividing is by the amount, 24, you get that one Blow-Pop costs $0.30. Then to find how many 11 costs you just need to multiply $0.30 by 11, and you get $3.30.

8 0

3 years ago

Jenny is picking up carrots at a farm. Jenny put each carrots in 4 boxes. Jenny figures out that there are 20 carrots in each bo

Darina [25.2K]

Answer:

85

Step-by-step explanation:

you will do they 20 carrots times the 4 boxes which is 80 then add the 5 her dad gave her which gives you 85

5 0

2 years ago

Simplify: -(16 - 5x) 5×-16/ 5× + 16 / -5×-16/ -5 + 16

bulgar [2K]

Answer:

(16 (1280 x - 4071))/25

Step-by-step explanation:

Simplify the following:

16 - (-16 (-16)×5×16 (16 - 5 x))/(5 (-5) (-5))

Hint: | Express 16/(-5)×(-16)/(-5) as a single fraction.

16/(-5)×(-16)/(-5) = (16 (-16))/(-5 (-5)):

-(-16×5×(-16×16)/(-5 (-5)) (16 - 5 x))/5 + 16

Hint: | Express 5×(-16)/5×(16 (-16))/(-5 (-5)) as a single fraction.

5×(-16)/5×(16 (-16))/(-5 (-5)) = (16 (-16) 5 (-16))/(-5 (-5) 5):

16 - (-16 (-16) 16×5)/(-5 (-5) 5) (16 - 5 x)

Hint: | Multiply 16 and -16 together.

16 (-16) = -256:

-(-16-256×5 (16 - 5 x))/(-5 (-5) 5) + 16

Hint: | Multiply -256 and 5 together.

-256×5 = -1280:

-(-16-1280 (16 - 5 x))/(-5 (-5) 5) + 16

Hint: | Multiply -1280 and -16 together.

-1280 (-16) = 20480:

16 - (20480 (16 - 5 x))/(-5 (-5) 5)

Hint: | In 20480/(-5 (-5) 5), divide 20480 in the numerator by 5 in the denominator.

5 | | 4 | 0 | 9 | 6

| 2 | 0 | 4 | 8 | 0

- | 2 | 0 | | |

| | | 4 | |

| | - | 0 | |

| | | 4 | 8 |

| | - | 4 | 5 |

| | | | 3 | 0

| | | - | 3 | 0

| | | | | 0:

16 - (4096 (16 - 5 x))/(-5 (-5))

Hint: | Multiply -5 and -5 together.

-5 (-5) = 25:

16 - (4096 (16 - 5 x))/25

Hint: | Put the fractions in 16 - ((16 - 5 x)×4096)/25 over a common denominator.

Put each term in 16 - ((16 - 5 x)×4096)/25 over the common denominator 25: 16 - ((16 - 5 x)×4096)/25 = 400/25 - (4096 (16 - 5 x))/25:

400/25 - (4096 (16 - 5 x))/25

Hint: | Combine 400/25 - (4096 (16 - 5 x))/25 into a single fraction.

400/25 - (4096 (16 - 5 x))/25 = (400 - 4096 (16 - 5 x))/25:

(400 - 4096 (16 - 5 x))/25

Hint: | Distribute -4096 over 16 - 5 x.

-4096 (16 - 5 x) = 20480 x - 65536:

(20480 x - 65536 + 400)/25

Hint: | Group like terms in 20480 x - 65536 + 400.

Grouping like terms, 20480 x - 65536 + 400 = 20480 x + (400 - 65536):

(20480 x + (400 - 65536))/25

Hint: | Evaluate 400 - 65536.

400 - 65536 = -65136:

(20480 x + -65136)/25

Hint: | Factor out the greatest common divisor of the coefficients of 20480 x - 65136.

Factor 16 out of 20480 x - 65136:

Answer: (16 (1280 x - 4071))/25

3 0

2 years ago