Create an expression to the phrase "7 more than the product of 6 and the number n"

A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 24 minutes? How far wil

Vikki [24]

Answer:

a) distance traveled is 16 miles.

b) distance traveled is 40 miles.

Step-by-step explanation:

Speed is a scalar quantity which describe the rate of distance moved with time.

i.e speed = $\frac{distance}{time}$

Given that: distance = 2 1/3 miles = $\frac{7}{3}$ miles, time = 3 1/2 minutes = $\frac{7}{2}$ minutes.

Then;

speed = $\frac{7}{3}$ ÷ $\frac{7}{2}$

= $\frac{7}{3}$ x $\frac{2}{7}$

= $\frac{2}{3}$

The car's steady speed is 0.67 miles per minute.

a) when the time is 24 minutes, the distance covered can be determine by:

distance = speed x time

= $\frac{2}{3}$ x 24

= 16

distance traveled is 16 miles.

b) When the time is 1 hour (60 minutes), the distance traveled can be determined by:

distance = speed x time

= $\frac{2}{3}$ x 60

= 40

distance traveled is 40 miles.

5 0

2 years ago

If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

MaRussiya [10]

The answer is C i know for a fact

6 0

3 years ago

15 increased by 40%, I have no idea what that means

elena-s [515]

It’s 21 it technically just means your increasing the 15 by 50 percent

8 0

2 years ago

You save for retirement over 30 years by investing $850/month in a stock account that yields 10%. You invest $350/month in a bon

sergejj [24]

Answer:

$13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

$1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

A = P(r/12)/(1 -(1 +r/12)^(-12n))

= $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0

3 years ago

What is the principal which would amount to $6900 in 3 years at 5% simple interest per annum?

balu736 [363]

Answer:

$6000

Step-by-step explanation:

accumulated amount = A = PI

A = $6900

Let P = x

6900 - I = x

I = (x)(0.05)(3yrs) = 0.15x

6900 - 0.15x = x

Add

6900 = 1.15x

Divide, solve for x

x = 6000

8 0

2 years ago