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3 years ago

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You invest an initial $1,000 in an account that has an annual interest rate of 2%, compounded quarterly. how much money will you

have in the account after 5 years? round your answer to the nearest whole number and include units.

1 answer:

kiruha [24]3 years ago

8 0

Check the attached file for the answer.

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Jake has decided to invest in three business ventures. The total cost of investing in all three ventures is $15,000. The combine

Arte-miy333 [17]

X = first venture, y = second venture, z = third venture

x + y + z = 15,000
x + z = y + 7000
3x + 2y + 2z = 39,000
these are ur equations.....

x + y + z = 15,000
x - y + z = 7000
--------------------add
2x + 2z = 22,000

x + y + z = 15,000....multiply by -2
3x + 2y + 2z = 39,000
-------------------
-2x - 2y - 2z = - 30,000 (result of multiplying by -2)
3x + 2y + 2z = 39,000
------------------add
x = 9,000

2x + 2z = 22,000
2(9000) + 2z = 22000
18,000 + 2z = 22000
2z = 22000 - 18000
2z = 4000
z = 4000/2
z = 2,000

x + y + z = 15,000
9000 + y + 2000 = 15,000
11,000 + y = 15,000
y = 15,000 - 11,000
y = 4,000

first venture (x) = 9,000 <==
second venture (y) = 4,000 <==
third venture (z) = 2,000 <==

7 0

3 years ago

Read 2 more answers

The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

3 years ago

Need help please !!Solve the inequality. Show your work please(:<br> 5y +16≤56

yan [13]

Hope this can help u

3 0

3 years ago

Read 2 more answers

WILL AWARD A MEDAL AND FIVE STARS!!!!

ycow [4]

Hello,

f(x)-2x-7

g(x)=-4x+3

(fog)(x)=f(g(x))=f(-4x+3)=-2(-4x+3)-7=8x-6-7=8x-13

(fog)(-5)=8*(-5)-13=-53

6 0

3 years ago

There is 300 fruit in a basket 50 of them are bananas what percentage is not bananas

scoray [572]

Answer:

83.33%

Step-by-step explanation:

300 - 50 = 250

250/300 = 0.8333 or 83.33%

5 0

3 years ago