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Alexandra [31]
3 years ago
12

How much should you invest at 2.1% simple interest in order to earn $85 interest in 7 months?​

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0

Answer:

$6938.78

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

let 'P' = Principal

85 = P × .021 × \frac{7}{12}

85 = .01225P

85 / .01225 = P

6938.78 = P

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Pyramid ABCDE is a square pyramid.<br><br> What is the lateral area of pyramid ABCDE ?
SpyIntel [72]

Answer:

256√3 in^2.

Step-by-step explanation:

tan 60 = lateral height of 1 face / 8

Lateral height = 8 tan 60 = 8√3

Area of 1 face = 8 * 8√3 = 64√3

Lateral Area = 4 * 64√3 = 256√3 in^2

8 0
4 years ago
Read 2 more answers
A man buys a racehorse for $20,000 and enters it in two races. He plans to sell the horse afterward, hoping to make a profit. If
victus00 [196]

Answer:

The expected profit is $10,600.

Step-by-step explanation:

The expected profit can be calculated as the sum of the possible outcomes weighted by their probability of occurrence.

In this case, there are four possible outcomes:

1) The horse win both races. The value of the horse will be $100k-$20k=$80k.

The probability of this outcome is:

P(ww)=P(w1)*P(w2)=0.2*0.3=0.06

2) The horse win the first race, but lose the second one. The value will be $50k-$20k=$30k.

The probability is:

P(wl)=P(w1)*(1-P(w2))=0.2*(1-0.3)=0.2*0.7=0.14

3) The horse lose the first race, but win the second one. The value will be $50k-$20k=$30k.

The probability is:

P(lw)=(1-P(w1))*P(w2)=(1-0.2)*0.3=0.8*0.3=0.24

4) The horse lose both races. The value will be $10k-$20k=-$10k.

The probability is:

P(lw)=(1-P(w1))*(1-P(w2))=(1-0.2)*(1-0.3)=0.8*0.7=0.56

Then, the expected profit can be calculated as:

E(x)=\sum\limits^4_{i=1} {p_ix_i}\\\\E(x)=0.06*80,000+0.14*30,000+0.24*30,000+0.56*(-10,000)\\\\E(x)=4,800+4.200+7,200-5,600=10,600

6 0
3 years ago
an airplane flies from city a to city b, which is 100 kilometers north and 150 kilometers west of city a. how far does the plane
frozen [14]

Answer:250 kilometers

Step-by-step explanation:

so it travels 100 kilometers north and another 150 kilometers north so 100+150 is 250 kilometers

3 0
2 years ago
£ represents 29 students in a class
ser-zykov [4K]

Answer:

What is the question?

3 0
3 years ago
Help Please . its due in 5 hours and i cant find answers
dolphi86 [110]

Answer:

39 pi cubic inches

Step-by-step explanation:

The volume of a cone is (1/3)(area of the base)(height).

V=\frac{1}{3}Bh

Find the area of the circular base.  The circumference of a circle is C=2\pi r, so

2\pi r = 6\pi\\\\r=3

Now that you know the radius of the circular base, you can find its area:

A=\pi r^2 = \pi(3^2)=9\pi

The height of the cone is 13.  Time to use the volume formula.

V=\frac{1}{3}Bh\\\\V=\frac{1}{3}(9\pi)(13)\\\\V=39\pi

6 0
3 years ago
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