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3 years ago

Last week, Jane made deposits of

Mathematics

1 answer:

liraira [26]3 years ago

6 0

Answer:

b. $25

Step-by-step explanation:

64 + 25 + 37 - 52 - 49 = 25

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a person invests $2560 in an account that earns 5.2% annual interest. find when the value of the investment reaches $6000

ra1l [238]

6000=2560(1+0.052)^t
Solve for t
t=log(6,000÷2,560)÷log(1+0.052)
t=16.8 years

4 0

3 years ago

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect

Liula [17]

Answer:

After 25 years the population will be:

Australia: 22271200
China: 1580220878
Mexico: 157380127
Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

P(t) = P₀eʳᵗ

t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.

P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.

P₀ is the initial population at P(0)
r is the growth rate. Don't forget to convert the percentage to its decimal form

Now that everything is set out, lets use the equation to solve for our answer.

P(t) = P₀eʳᵗ

Australia:

$P(t)=(19169000)e^{(0.006)t}$

after 25 years

$P(25)=(19169000)e^{(0.006)(25)}=22271200.6$

China:

$P(t) = (1261832000)e^{(.009)t}$

after 25 years:

$P(25)=(1261832000)e^{(.009)(25)}=1580220878$

Mexico:

$P(t) = (100350000)e^{(0.018)t}$

after 25 years:

$P(25)=(100350000)e^{(0.018)(25)}=157380127.8$

Zaire:

$P(t) = (51965000)e^{(0.031)t}$

after 25 years:

$P(25)=(51965000)e^{(0.031)(25)}=112794819.9$

6 0

4 years ago

His triangle has a perimeter of 48 feet. The second side is 5 feet longer than the first side. The third side is 3 feet longer t

kotegsom [21]

Answer:

The length of the second side is 22.5 feet.

Step-by-step explanation:

7 0

3 years ago

Jennifer went on a shopping spree, spending a total of $165 on a skirt, a sweater, and a pair of shoes. The cost of the sweater

ahrayia [7]

X=skirt
y=sweater
z=shoes

x+y+z=165
y=8/7x
z=x+11
plug it in
x+(8/7x)+(x+11)=165
2x+8/7x=154
22/7x=154
x=49
y=56
z=60
a skirt cost $49, a sweater cost $56, and a pair of shoes cost $60

7 0

3 years ago

3 pounds of gummie bears cost $8.97. What will one pound cost?

KATRIN_1 [288]

Answer:

2.99

Step-by-step explanation:

4 0

3 years ago