Answer:
Semi-annually: A = $24 178.51
Quarterly: A = $24 205.73
Monthly: A = $24 224.13
Step-by-step explanation:
The formula for compound interest is
A = P(1 + r)ⁿ
A. Compounded semi-annually
Data:
P = $20 000
APR = 4.8 %
t = 4 yr
Calculations:
n = 4 × 2 = 8
r = 0.048/2 = 0.024
A = 20 000(1+ 0.024)⁸
= 20 000 × 1.024⁸
= 20 000 × 1.208 926
= $24 178.51
B. Compounded Quarterly
n = 4 × 4 = 16
r = 0.048/4 = 0.012
A = 20 000(1+ 0.012)¹⁶
= 20 000 × 1.012¹⁶
= 20 000 × 1.210 286
= $24 205.73
C. Compounded monthly
n = 4 × 12 = 48
r = 0.048/12 = 0.004
A = 20 000(1+ 0.004)⁴⁸
= 20 000 × 1.004⁴⁸
= 20 000 × 1.211 207
= $24 224.13
Discounts are used to reduce the original price of an item.
David will pay $25 and 92 cents for an item of $32, before tax
The discount (d) is given as:
The price (p) of the item is given as:
So, the amount (A) paid before tax is calculated using:
Substitute known values
Express percentage as decimal
Subtract 0.19 from 1
Multiply 32 and 0.81
Hence, David will pay $25 and 92 cents for an item of $32, before tax
Read more about discounts at:
brainly.com/question/11538623
Answer:
$787
Step-by-step explanation:
In terms of interest
To find the multiplier using '7% more' continues as follows
100% + 7% = 107%
107/100 = 1.07 (multiplier)
Add the ten years as a power to the multiplier
1.07^10
And multiply this by $400
400 x 1.07^10 = 786.860542916
To the nearest dollar = $787
Answer:
42 minutes.
Step-by-step explanation:
We know that:
y = 0.2*x
is the equation that that defines the distance, in miles, that the boat travels in x minutes.
We know that the dolphins are at 8.4 miles from the boat.
Then when we have y = 8.4, this will mean that the boat reached the dolphins.
Then we need to solve the equation:
y = 8.4 = 0.2*x
for x
To do that, we just need to isolate x in one side of the equation, so we can just divide both sides by 0.2 to get:
8.4/0.2 = (0.2*x)/0.2
42 = x
And x is time in minutes, thus, the boat needs to travel for 42 minutes to reach the dolphins.
Here ya go
53-bbb
54-c
55-ddd
56-eee
57-aaaga
if you have questions on the way I wrote it please ask
