Hopes this helps:
Answer: 9e + 8f
Answer:
1. $2,950.62
2. $93.75
Step-by-step explanation:
Ann took out a loan of = $12,000
At an interest rate of = 5.65%
Time = 4 years
Formula of compound interest =
=
=
= 12,000 × 1.24588514
Interest = Amount - principal amount
= $14,950.62 - 12,000
= $2,950.62
Amount that Dan borrowed = $1,250
rate of interest = 5%
Time = 18 months or 1.5 years
Formula of simple interest = P(1+rt)
= 1250(1+(0.05 × 1.5))
= 1250(1+0.075)
= 1250 × 1.075
= 1343.75
Interest = Amount - principal
I = 1343.75 - 1250
= $93.75
The solution to this similar triangles is; XY = 11.25
<h3>What is the ratio of the similar triangles?</h3>
In triangle ABC, we see that;
AB = 5, BC = 12, CA = 8.
In triangle XYZ;
XY = N, YZ = 27 ZX = 18
To find:
The length of XY
If two triangles are similar, then their corresponding sides are proportional.
Since ΔABC is similar to ΔXYZ, then we say that;
AB/XY = BC/YZ = CA/ZX
5/N = 12/27 = 8/18
Cross multiply to get;
8N = 18 * 5
N = 90/8
N = 11.25
Thus, the solution is XY = 11.25
Read more about Ratio of Similar Triangles at; brainly.com/question/18473666
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Arc length = rθ [r = radius of the circle, θ = central angle in radians] ⇒
Answer:
68
Step-by-step explanation:
We let the random variable X denote the height of students of the college. Therefore, X is normally distributed with a mean of 175 cm and a standard deviation of 5 centimeters.
We are required to determine the percent of students who are between 170 centimeters and 180 centimeters in height.
This can be expressed as;
P(170<X<180)
This can be evaluated in Stat-Crunch using the following steps;
In stat crunch, click Stat then Calculators and select Normal
In the pop-up window that appears click Between
Input the value of the mean as 175 and that of the standard deviation as 5
Then input the values 170 and 180
click compute
Stat-Crunch returns a probability of approximately 68%