Find the area of the trapezoid. please explain.

2. a. Diego has 150% as much as Noah. How much

NikAS [45]

Answer:

a

Step-by-step explanation:

7 0

3 years ago

At what rates percent compound interest will Rs2000 amount to Rs 2420 in 2 years.

igor_vitrenko [27]

The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.

<h3>What is compound interest?</h3>

The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.

The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.

Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.

Using the formula A = P(1 + r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)^(1/nt) - 1]

r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]

r = 0.1

Then convert r to R as a percentage

R = r × 100

R = 0.1 × 100

R = 10%/year

Learn more about compound interest

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4 0

1 year ago

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 4 feet long, a

9966 [12]

Answer:

Total surface area of the pyramid = $25ft^{2}$

Step-by-step explanation:

To find the surface area of the triangular- based pyramid, we will use the formula:

Surface area = Area of base + Area of the three faces

Area of base of the pyramid = Area of equilateral triangle = $0.5 \times base \times height$

$= 0.5 \times 4 \times 3.5= 7ft ^{2}$

Area of the slant faces of the pyramid is $0.5 \times base \times slant height$

$0.5 \times 4 \times 3 = 6 ft^{2}$

Since there are 3 slant surfaces the total surface area of the pyramid = $7 + 3 \times (6)= 25ft^{2}$

6 0

4 years ago

To motorists leave from the same point at the same time, one traveling east at 36 MPH and the other traveling west at 44 MPH. Ho

Ber [7]

This is a very good question to know about. People who make tests really like it.

The way to solve it is to make the slower car stop and use the difference in speed = to the rate. then do it as an ordinary d = r*t problem.

The difference in speeds is 44 - 36 = 8 miles/ hour.
d = 260 miles
r = 8 mph
t = ???

t = d/r
t = 260/8
t = 32.5 hours.

Thats 32 1/2 hours.

3 0

4 years ago

A company is producing a new product. Due to the nature of the product, the time required to produce each unit decreases as wor

balu736 [363]

Answer:

The total time to produce units 1 through 10 = 21.762 hours

The total time to produce units 30 through 40 = 22.187 hours

Step-by-step explanation:

Function for the learning process is T(x) = 2 + 0.6(1/x)

Time required to produce 1st unit = 2.6

Time required to produce 2nd unit = 2.3

Time required to produce 3rd unit = 2.2

Time required to produce 4th unit = 2.15

Time required to produce 5th unit = 2.12

Time required to produce 6th unit = 2.1

Time required to produce 7th unit = 2.09

Time required to produce 8th unit = 2.075

Time required to produce 9th unit = 2. 067

Time required to produce 10th unit = 2. 06

The total time required for a new worker to produce units 1 through 10 is the sum of the above times. The total time to produce units 1 through 10 = 21.762

Function for the learning process is T(x) = 2 + 0.6(1/x)

Time required to produce 30th unit = 2.02

Time required to produce 31st unit = 2.019

Time required to produce 32nd unit = 2.0188

Time required to produce 33rd unit = 2.018

Time required to produce 34th unit = 2.0176

Time required to produce 35th unit = 2.017

Time required to produce 36th unit = 2.0167

Time required to produce 37th unit = 2.016

Time required to produce 38th unit = 2.0158

Time required to produce 39th unit = 2. 0154

Time required to produce 40th unit = 2. 015

The total time required for a new worker to produce units 30 through 40 is the sum of the above times. The total time to produce units 30 through 40 = 22.187

7 0

3 years ago