Answer: $24
Step-by-step explanation:
Mariano saved $24because
120 x 0.2=24
She payed $96
Answer:
12.95a + 4.95 ≤ 75
Step-by-step explanation:
Given:
Cost of each DVD = $12.95
Total shipping fee = $4.95
Total amount as gift card = $75
Find;
Inequality
Computation:
Assume;
Number of DVD he purchase = a
So,
Total amount as gift card ≥ (Cost of each DVD)(Number of DVD he purchase ) + Total shipping fee
75 ≥ (12.95)(a) + 4.95
12.95a + 4.95 ≤ 75
Answer:
57.93% probability that a trip will take at least 35 minutes.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the probability that a trip will take at least 35 minutes
This probability is 1 subtracted by the pvalue of Z when X = 35. So



has a pvalue of 0.4207
1 - 0.4207 = 0.5793
57.93% probability that a trip will take at least 35 minutes.
The HCF is the Highest Common Factor of a number in this case 54. This is the highest number times another number which = 54. The HCF for 54 is 18.
The formula of the future value of annuity ordinary
Fv=pmt [(1+r)^(n)-1)÷r]
Fv future value
Pmt payment per year 4000
R interest rate 0.0215
N time 5 years
Fv=4,000×(((1+0.0215)^(5)−1)÷(0.0215))
fv=20,878.69