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mina [271]
3 years ago
6

Describe the error in the work shown below.

Mathematics
1 answer:
Serga [27]3 years ago
6 0
The answer is 18+30= 6(3+5) when you distribute the given one 18+30= 6(3+10) which was wrong, you get 18+60 so u need to replace the 10 with something that will equal 30 when multiplied; which is 5.
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Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if
Ugo [173]

1. Occasionally a savings account may actually pay interest compounded continuously. For each​ deposit, find the interest earned if interest is compounded​ (a) semiannually,​ (b) quarterly,​ (c) monthly,​ (d) daily, and​ (e) continuously. Use 1 year = 365 days.

Principal ​$1031

Rate 1.4%

Time 3 years

Answer:

a) $ 44.07

b) $ 44.15

c) $ 44.20

d) $ 44.22

e) $ 44.22

Step-by-step explanation:

The formula to find the total amount earned using compound interest is given as:

A = P(1 + r/n)^nt

Where A = Total amount earned after time t

P = Principal = $1031

r = Interest rate = 1.4%

n = compounding frequency

t = Time in years = 3 years

For each​ deposit, find the interest earned if interest is compounded

(a) semiannually

This means the interest is compounded 2 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/2) ^2 × 3

A = 1031 (1 + 0.007)^6

A = $ 1,075.07

A = P + I where

I = A - P

I = $1075.07 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.07

​(b) quarterly

This means the interest is compounded 4 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/4) ^4 × 3

A = 1031 (1 + 0.014/4)^12

A = $ 1,075.15

I = A - P

I = $1075.15 - $1031

A = P + I where

P (principal) = $ 1,031.00

I (interest) = $ 44.15

(c) monthly,

​ This means the interest is compounded 12 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/12) ^12 × 3

A = 1031 (1 + 0.014/12)^36

A = $ 1,075.20

A = P + I where

I = A - P

I = $1075.20 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.20

(d) daily,Use 1 year = 365 days

This means the interest is compounded 365 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/365) ^2 × 3

A = 1031 (1 + 0.00365)^365 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

(e) continuously. .

This means the interest is compounded 2 times in a year

Hence:

A = Pe^rt

A = 1031 × e ^0.014 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

5 0
3 years ago
4 % of blank days is 56 days
klasskru [66]
We have an equation: 56/? = 4/100

Cross multiply:
4*? = 56*100
⇒ ? = 56*100/4 = 1,400

There are 1,400 blank days~
8 0
3 years ago
Read 2 more answers
It is 5 degrees outside and the temperature will drop 4 degrees each hour for the next 3 hours. What will the temperature be in
Softa [21]

Answer:

  -7 degrees

Step-by-step explanation:

The temperature is predicted to be ...

  5 +3(-4) = 5 -12 = -7 . . . . degrees

__

To find the change, multiply the rate of change by the time period. To find the new temperature, add the change to the starting temperature.

8 0
3 years ago
Please help. 2/3 (x - 6) = 6
vagabundo [1.1K]

Answer:

6=6

Step-by-step explanation

if 2/3x=10

therefore

x=3/2x10

x=15

substitute x with 15

2/3 (15 - 6)=6

2/3(9)=6

6=6

6 0
3 years ago
PLEASE HELP
algol13

Independent events mean that one event happening does not have to have the other event to happen.

The probability of both events happening is the product of the events.

The answer would be:

E. P(A ∩ B) = P(A) x P(B)

8 0
3 years ago
Read 2 more answers
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