Answer:
He invested 3,000 at 7% and 4,000 at 9%.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=7,000 (1)
0.07x+0.09y=570 (2)
You can solve for x in (1)
x=7,000-y (3)
Now, you can replace (3) in (1) and solve for "y":
0.07(7,000-y)+0.09y=570
490-0.07y+0.09y=570
0.02y=80
y=80/0.02
y=4,000
Finally, you can replace the value of "y" in (3):
x=7,000-4,000
x=3,000
According to this, the answer is that he invested 3,000 at 7% and 4,000 at 9%.
Given:
price = 1,250
sales discount = 15%
sales tax = 6.5%
The problem is unclear whether the price is the original price or the discounted price. I am assuming that the price is the original price.
Original price times sales discount rate is the value of sales discount
1,250 x 15% = 187.50
Original price less the value of sales discount is the discounted price.
1,250 - 187.50 = 1,062.50
Discounted price times sales tax rate is the value of the sales tax
1,062.50 x 6.5% = 69.06
Discounted price plus sales tax is the total cost of the purchase
1,062.50 + 69.06 = 1,131.56
Answer:b)0.8577
Step-by-step explanation:
Since the heights of men are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = heights of men
u = mean height
s = standard deviation
From the information given,
u = 69 inches
s = 2.8 inches
We want to find the probability that the mean height of the 100 men is less than 72 inches.. It is expressed as
P(x < 72)
For x = 72
z = (72 - 69)/2.8 = 1.07
Looking at the normal distribution table, the probability corresponding to the z score is 0.8577
P(x < 72) = 0.8577
Answer: 15.7 minutes
Step-by-step explanation:
Let x be the time in the beginning (in minutes).
Given: The track team is trying to reduce their time for a relay race.
First they reduce their time by 
2.1 minutes.
Then they are able to reduce that time by 
10
If their final time is 3.96 minutes, then
Hence, their beginning time was 15.7 minutes.
