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katrin [286]
3 years ago
15

2 mixed numbers between 3 and 4 that have a product between 9 and 10

Mathematics
1 answer:
Pavel [41]3 years ago
3 0
2 4
3 4 4 5 9 10 10 8
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Fifteen years ago, you deposited $12,500 into an investment fund. Five years ago, you added an
True [87]

Answer:

a) 8.16%

b) $65,762.50

c) $39,701.07

Step-by-step explanation:

Given:

15 years ago, Initial investment = $12500

5 years ago, Investment = $20000

Nominal interest = 8% semi annually for first 10 years

Interest2= 6.5% compunded annually for last five years

a) for the effective annual interest rate (EAR) in the first 10 years, let's use the formula:

[1+(nominal interest rate/number of compounding periods)]^ number of compounding periods-1

EAR = [1 + (\frac{0.08}{2})]^2 - 1

= (1 + 0.04)^2 - 1

= (1.04)^2 - 1

= 1.0816 - 1

= 0.0816

= 8.16%

The effective annual interesting rate, EAR = 8.16 %

b) To find the amount in my account today.

Let's first find the amount for $12500 for 10 years compounded semi annually

= 12,500 +( 12,500 * 8.160% * 10)

= $ 22,700

Let's also find the amount for $32,500($12,500+$20,000) for 5 Years compoundeed annually

$32,500 + ($32,500 * 6.5% *5)

= $ 43,062.50

Money in account today will be:

$22,700 + $43,062.50

= $65,762.50

c) Let's the amount I should have invested to be X

For first 10 years at 8.160%, we have:

Interest Amount = ( X * 8.160% * 10 ) = 0.8160 X

For next 5 years at 6.5%, we have:

Interest Amount = (X * 6.5% * 5) = 0.325 X

Therefore the total money at the end of 15 Years = 85000

0.8160X + 0.3250X + X = $85,000

= 2.141X = $85,000

X = 85,000/2.141

X = 39,701.074 ≈ $39,700

If I wish to have $85,000 now, I should have invested $39,700 15 years ago

7 0
3 years ago
Question 7. Ezequiel's Biology marks are 8.3, 6.8 and 9.4 out of 10. His final grade in Biology is the mean of these three marks
Paha777 [63]

Answer:

Ezequiel's final grade is 8

Step-by-step explanation:

The average (mean) of Ezequiel's grade is:

\frac{(8.3+6.8+9.4)}{3} \approx 8.16666

which rounded to the nearest unit is 8.

6 0
3 years ago
A line passes through point (-2, 5) and has a slope of 3. Points A(x 3) and B(-2, y lie on the line.
il63 [147K]

Answer:

x = -8/3

y = 5

Step-by-step explanation:

Finding the equation of the line:

y = 3x +c

Substituting (-2,5) into 'y=3x+c':

5 = -6 + c

c = 11

Hence,

y = 3x + 11

For finding x:

Substituting (x, 3) into 'y = 3x +11':

3 = 3x + 11

3x = -8

x = -8/3

For finding y:

Substituting (-2, y) into 'y = 3x + 11':

y = -6 + 11

y = 5

<em>Hope this helps and be sure to have a wonderful time at Brainly! :D</em>

4 0
2 years ago
Round 768 to the nearest 10
algol13
770 because the 1 is higher than 5 so you round up
6 0
3 years ago
Read 2 more answers
6/11x7/8 I don’t get this either
lilavasa [31]

Answer:

I suggest turning them both into decimals and then multiplying them and turning it back into a decimal

Step-by-step explanation:

6 0
2 years ago
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