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Nutka1998 [239]

3 years ago

12

suppose that $2,000 is loaned at a rate of 18.5% compounded semi-annually assume that no payments are made find the amount after

3 years

1 answer:

pogonyaev3 years ago

6 0

Answer: 2000(1+0.185/2)to the power of 3/2

= $2283.82

Step-by-step explanation: compounded interest is A= P(1 +r) the to power of N

So assuming semi annually means twice a year

2000(1+0.185/2)to the power of 3/2

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Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

3 0

3 years ago

A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?

erastova [34]

Let sales be x
<span>.03x = 180 </span>
<span>divide both sides by .03 </span>
<span>x = 180/.03 = 6000</span>

6 0

3 years ago

To qualify for the championship a runner must complete the race in less than 55 minutes ....... Use "t" to represent the time in

Svet_ta [14]

The inequality is t < 55

<em><u>Solution</u></em><em><u>:</u></em>

Given that, To qualify for the championship a runner must complete the race in less than 55 minutes

Let "t" represent the time in minutes of a runner who qualifies for the championship

Here it is given that the value of t is less than 55 minutes

Therefore, "t" must be less than 55, so that the runner qualifies the championship

<em><u>This is represented by inequality:</u></em>

$t$

The above inequality means, that time taken to complete the race must be less than 55 for a runner to qualify

Hence the required inequality is t < 55

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A deli sandwich consists of one type of bread, one type of meat, and one type of sauce. The deli offers wheat, rye, and white br

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It would be 1/3 because there are three ingredients. Therefore, if he is allergic to one of everything in each category, there are 3/10 things he is allergic to.

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Nine less than The quotient of two and a number x

aleksley [76]

2/x-9. You must divide 2 by x first to follow the order of operations then subtract by nine.

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