In triangle JKL, tan(bº) =

You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us

Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that

step 1

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$r=10\%=10/100=0.10\\n=4$

substitute in the formula above

$A=P(1+\frac{0.10}{4})^{4t}$

$A=P(1.025)^{4t}$

Applying property of exponents

$A=P[(1.025)^{4}]^{t}$

$A=P(1.1038)^{t}$

step 2

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$r=10\%=10/100=0.10$

substitute in the formula above

$A=P(e)^{0.10t}$

Applying property of exponents

$A=P[(e)^{0.10}]^{t}$

$A=P(1.1052)^{t}$

step 3

Compare the final amount

$P(1.1052)^{t} > P(1.1038)^{t}$

therefore

Find the difference

$P(1.1052)^{t} - P(1.1038)^{t}$ ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0

3 years ago

A grocery store clerk has 16 oranges, 20 apples, and 24 pears. The clerk needs to put an equal number of apples, oranges, and pe

GalinKa [24]

Answer:

4 oranges, 5 apples, 6 pears in each bag

Step-by-step explanation:

theyre all divisible by 4

7 0

3 years ago

Read 2 more answers

£360 is shared between Chloe and Denesh. The ratio Abby gets to the ratio Ben gets us 2:7 Chloe and denesh each get 1:5 times th

andreev551 [17]

Answer:

£210

Step-by-step explanation:

I think i just worked it out in my head

6 0

3 years ago

Read 2 more answers

11 th term of the following geometric sequence.<br> 10,50,250,1250

Natasha2012 [34]

Answer:

97,656,250

Step-by-step explanation:

The first term, a(1), is 10. The next is 5 times greater. And so on. Thus, the common ratio is 5, and the general formula for this sequence is

a(n) = a(1)*5^(n -1).

Therefore,

a(11) = 10*5^(11 - 1) = 10*5^10 = 97,656,250

6 0

3 years ago

Allana used Fraction 3 over 5 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 7 over 10 yard

Paul [167]

(1 7/10) / (3/5)
(17/10) / (3/5) =
17/10 * 5/3 =
85/30 =
2 5/6........yes, because 1 7/10 divided by 3/5 = 2 5/6...answer C

5 0

3 years ago