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nadya68 [22]
3 years ago
11

HELLLPPP

Mathematics
1 answer:
Travka [436]3 years ago
4 0
4+4+4+6+6=24 Hours
15+15+20+20+20= 1 Hr 30 Min
24+1= 25 Hours + 30 Minutes=
Final answer: C) 25 hours and 30 minutes
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Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year
kifflom [539]

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting P=14000,r=0.10,n=2,t=11 in the above formula, we get

A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}

A=14000\left(1+0.05\right)^{22}

A=14000\left(1.05\right)^{22}

A\approx 40953.65

Therefore, the accumulated value of the given investment is $40953.65.

8 0
3 years ago
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an automobile 16 feet long overtakes a truck that is 28 feet long and is traveling 30 mph. At what rate must the automobile trav
Oduvanchick [21]
<h2>Automobile must travel at 96 mph to pass the truck in 4 seconds.</h2>

Step-by-step explanation:

Length of  automobile = 16 feet = 4.88 m

Length of truck = 28 feet = 8.53 m

Speed of truck = 30 mph = 48 km/h = 13.33 m/s

Time in which automobile to pass truck = 4 s

Distance traveled by truck in 4 seconds = 4 x 13.33 = 53.33 m

Distance which need to cover by automobile in 4 seconds to pass truck is the sum of length of  automobile, length of truck and distance traveled by truck in 4 seconds.

Distance which need to cover by automobile in 4 seconds = 4.88 + 8.53 + 53.33

Distance which need to cover by automobile in 4 seconds = 66.74 m

Distance = Speed x Time

66.74 = Speed x 4

Speed = 16.69 m/s = 60 km/h = 96 mph

Automobile must travel at 96 mph to pass the truck in 4 seconds.

8 0
3 years ago
A circle has a sector with area 24/5pi and central angle of 48°. What is the area of the circle? Either enter an exact answer in
ra1l [238]

Answer:

Area_circle = pi*(24/5)*(360/48)=36pi = 113.097

5 0
4 years ago
What is the vertex form of the function y = x2 + 8x – 3
Scrat [10]

Answer:

y=(x+4)²-19

Step-by-step explanation:

8 0
3 years ago
What is the answer to 6x-3(2-3x)
insens350 [35]

Problem: 6x-3(2-3x)

<em>Let's solve!</em>

<em />

First: we expand

6x-(6-9x)

Then we simplify

6x-6+9x

Collect like terms

(6x+9x)-6

Simplify:

15x-6

The answer is 15x-6

5 0
3 years ago
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