All categories

4 years ago

Using the chart above, find the total amount and amount of interest paid in the following compound interest problems.

Mathematics

1 answer:

gizmo_the_mogwai [7]4 years ago

6 0

Answer:

Annually: Total Amount = 1611.76, Interest Amount = 711.76

Semiannually: Total Amount = 1625.50 , Interest Amount = 725.50

Quarterly: Total Amount = 1632.62 , Interest Amount = 732.62

Step by Step Explanation:

We can see from the table that the factor that we need to multiply with 900 in order to get amount for compounded annually is 1.7908477. Therefore, our total amount is 1.7908477*900 = 1611.76 and interest earned is 1611.76-900 = 711.76.

The factor that we need to multiply with 900 in order to get amount for compounded semiannually is 1.8061112. Therefore, our total amount is 1.8061112*900 = 1625.50 and interest earned is 1625.50-900 = 725.50.

The factor that we need to multiply with 900 in order to get amount for compounded semiannually is 1.8140184. Therefore, our total amount is 1.8140184*900 = 1632.62 and interest earned is 1632.62-900 = 732.62.

You might be interested in

A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce,

Citrus2011 [14]

${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}$

(i)

$\sf{a_n = 20 \times {( \frac{2}{3} )}^{n - 1} }$

(ii)

$\sf S_n = 60 \{1 - { \frac{2}{3}}^{n} \}$

Step-by-step explanation:

$\underline\red{\textsf{Given :-}}$

height of ball (a) = 10m

fraction of height decreases by each bounce (r) = 2/3

$\underline\pink{\textsf{Solution :-}}$

(i) We will use here geometric progression formula to find height an times

${\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times { \frac{2}{3} }^{n - 1} }$

(ii) here we will use the sum formula of geometric progression for finding the total nth impact

$\orange {\sf{S_n = a \times \frac{(1 - {r}^{n} )}{1 - r} }} \\ \sf S_n = 20 \times \frac{1 - ( { \frac{2}{3} })^{n} }{1 - \frac{2}{3} } \\ \sf S_n = 20 \times \frac{1 - {( \frac{2}{3}) }^{n} }{ \frac{1}{3} } \\ \sf S_n = 3 \times 20 \times \{1 - ( { \frac{2}{3}) }^{n} \} \\ \purple{\sf S_n = 60 \{1 - { \frac{2}{3} }^{n} \}}$

4 0

2 years ago

During the past half hour, a restaurant has had 23 orders for Pepsi and 15 orders for Mountain Dew. How many more orders have th

Bess [88]

Lets look at the info we have:-

23 orders for Pepsi.
15 orders for mountain dew.

Question:-
How many more orders have there been for Pepsi than for Mountain Dew?

To answer this we will subtract the amount of Pepsi's ordered by the amount of Mountain Dew's ordered. The answer will be the amount of more Pepsi's ordered than the Mountain Dew's.

23 - 15 = 8
8 more Pepsi's were sold than Mountain Dew's.

CHECK OUR WORK:-

15 + 8 = 23
We were RIGHT!!!

So, 8 more Pepsi's were ordered than Mountain Dew's.

Hope I helped ya!1 xD

5 0

3 years ago

Read 2 more answers

You compare the sizes of two MP3 players. The old model is 34 inch thick. The new model is 25 inch thick. How much thinner is th

KatRina [158]

Answer: the correct answers is 0.35 or 7/20

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

What is the answer if you factor completely

Sergeeva-Olga [200]