What is the sum o 12/13+(-1/13

If we get the 100 from number 1 each year for ten years and invest each payment in an account that earns 8% how much will be the

blsea [12.9K]

Answer:

$1,448.66

Step-by-step explanation:

The future value of an annuity with yearly deposits 'P' at an interest rate of 'r' invested for 'n' years is determined by:

$FV = P[\frac{(1+r)^n-1}{r}]$

For P = $100, r = 0.08 and n = 10 years:

$FV = 100[\frac{(1+0.08)^{10}-1}{0.08}]\\FV=\$1,448.66$

The amount at the end of the ten years is $1,448.66

4 0

3 years ago

Starting at home, Luis traveled uphill to the gift store for 50 minutes at just 6 mph. He then traveled back home along the same

Georgia [21]

Answer:

Therefore his average speed for the entire trip is 8 mph.

Step-by-step explanation:

Given, In 50 minutes Luis traveled uphill to gift store at 6 mph.

6 mph means in 1 h= 60 minutes Luis can covered 6 mile.

In 1 minutes Luis can covered $\frac{6}{60}$ mile.

In 50 minutes Luis can covered $\frac{6\times 50}{60}$ mile

= 5 mile

Again when he come back at home, the speed was 12 mph.

12 mph means in 1 h= 60 minutes Luis can covered 12 mile.

Therefore he traveled 12 mile in 60 minutes

He traveled 1 mile in $\frac{60}{12}$ minutes.

He traveled 5 mile in $\frac{60\times 5}{12}$ minutes

= 25 minutes.

Total distance for the entire trip is =(5+5) mile=10 mile

Total time for the entire trip is = (50+25) minutes = 75 minutes

$\textrm{Average speed}=\frac{\textrm{Total distance}}{\Textrm {total time}}$

$=\frac{10}{75}$ m/min

$=\frac{10\times 60}{75}$ mph

= 8 mph

Therefore his average speed for the entire trip is 8 mph.

4 0

3 years ago

. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 17m, diagonal QS

trapecia [35]

Answer:

495 meter²

Step-by-step explanation:

In the given kite QRST,

PQ = PS = 15 meter

QR = 17 meter

We have to find the area of the kite.

Since kite is in the form of a rhombus.

and rhombus is = $\frac{1}{2}$ (Diagonal QS) × (Diagonal RT)

In Δ QRP,

17² = 15² + RP²

$\sqrt{17^{2}-15^{2}} = RP$

$RP=\sqrt{289-225}$

= √64 = 8 meters.

So RT = RP + PT = 8 + 25 = 33 meter.

Now area of kite = $\frac{1}{2}$ (30) (33) = 495 meter²

6 0

3 years ago

The weights of dogs at a kennel are Normally distributed with a mean of 18 pounds and a standard deviation of 3.5 pounds.In whic

Ierofanga [76]

Answer:

P(x=25)=P(z=2)=0.9972 or 99.72%

Step-by-step explanation:

Mean = 18 pounds

Standard Deviation = 3.5 pounds

x= 25

We need to find P(x=25)

First, we need to find z-score using formula: $z-score=\frac{x-\mu}{\sigma}$

Finding z-score when x=25

$z-score=\frac{x-\mu}{\sigma}\\z-score=\frac{25-18}{3.5}\\z-score=2$

So, we need to find P(z=2)=P(x=25)

Looking at z-score table we can find P(z=2)

P(z=2)=0.9972 or 99.72%

So, P(z=2)=0.9972 or 99.72%

3 0

3 years ago

Read 2 more answers

Aiden and gia went to a clothing store where all the items had a 7% sales tax added to their cost. before the tax was added aide

pshichka [43]

Answer:

a. $34.24

b. $33

Step-by-step explanation:

Hope this helps

5 0

3 years ago

Read 2 more answers