Answer:
Step-by-step explanation:
Answer: it will take 17.5 years to double his money in the account.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $500
A = 500 × 2 = $1000
r = 4% = 4/100 = 0.04
n = 4 because it was compounded 3 times in a year.
Therefore,.
1000 = 500(1 + 0.04/4)^4 × t
1000/500 = (1 + 0.01)^4t
2 = (1.01)^4t
Taking log of both sides, it becomes
Log2 = 4tlog 1.01
0.301 = 4t × 0.0043 = 0.0172t
t = 0.301/0.0172
t = 17.5 years
Plan d as oval if la candid dad 12’xpp
Answer:
P = 321.3m
Step-by-step explanation:
To help simplify the process of solving this problem, first break it up into different shapes. Here, you have two shapes: a rectangle and a circle (1 semi-circle + 1 semi-circle = 1 circle).
Next, use the equation for circumference of a circle to find the first part of the perimeter (C = πd). In this case, the diameter would be 45m.
- C = πd
- C = 3.14 × 45
- C = 141.3 m
This is the first part of the circumference. Now, you must consider the rectangle. (Because the two shorter sides of the rectangle are not part of the perimeter, do not include these in your final answer.) The length of the rectangle is 90 meters, and since both sides that measure to 90m are part of what makes up the perimeter, lastly add these to the circumference you calculated earlier.
- (90 + 90) or (90 × 2) = 180
- P = 141.3 + 180
- P = 321.3m
Hope this helps! : )
It is negatively skewed to the right
First, we establish
our hypothesis:
<span>Null hypothesis H0: μ = $1.00 </span>
Alternative hypothesis
Ha: μ ≠ $1.00
<span>Let’s say X = the sample average cost of a daily newspaper
= 0.96</span>
u = population mean
cost = 1.00
S = sample standard
deviation = 0.18
Calculating for z
value:
z = (X – u) / S
z = (0.96 – 1) / 0.18
z = – 0.222
From the standard
distribution table at this z value, p-value = 0.4129
Since alpha = 0.01,
the decision therefore is:
<span>Do not reject the null
hypothesis because the p-value is greater than 0.01. There is enough evidence
to support the claim that the mean cost of newspapers is $1. </span>
