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Elden [556K]
3 years ago
12

Mary Ellen invests $4000 in an account that earns 1.8% annual interest compounded monthly.

Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0

Answer:

22.5 years to the nearest tenth.

Step-by-step explanation:

The equation is

6000 = 4000(1 + 0.018/12)^12t     where t = the number of years

(1 + 0.018/12)^12t  = 1.5

1.0015^12t = 1.5

Taking logs:

12t log 1.0015 = log 1.5

12t = log 1.5 / log 1.0015

12t = 270.51

t = 22.54 years.

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A rectangle's width is 5 feet less than its height. If the area of the rectangle is 564 square feet, what is its length, in feet
larisa86 [58]

We can set up an equation: x * (x + 5) = 564, where x is the length of the rectangle we are trying to solve. Using the quadratic formula to solve this, we eventually come up with approximately 21.38 as a value for x. We can verify this by typing 21.38 * (21.38 + 5) into a calculator and seeing that it approximately equals 564.

5 0
3 years ago
The factorial 4! is equal to _______.<br><br> This is about permutations btw.
bekas [8.4K]

Answer:

24

Step-by-step explanation:

factorial(4) = 4*3*2*1

factorial(4) = 24

8 0
4 years ago
Read 2 more answers
Substitution property of equality if y=-5 and 7x+y=11, then____. A. 7(-5) + y=11 B.7x-5=11 C.7x+5=11 D.-5+y=11
jolli1 [7]
7x+y=11 where y= -5                                                                                              So, when we substitute y in the equation then,
7x + (-5) = 11 that is 7x - 5 = 11....
So, B. is the right answer.

3 0
3 years ago
Can someone help me with these word problems?
Jobisdone [24]
1) $375
500 *.25= 125
500-125= 375

2) (5/8)* 32= 20 girls in class
(3/8)* 32= 12 BOYS in class

4) 19+42+X=87
62+X= 87 (add 19 and 42 together )
X=25 ( subtract 87 from 62)
4 0
3 years ago
Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best
Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817  

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800  

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817  

3 0
3 years ago
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