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lina2011 [118]
3 years ago
11

Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balanc

e be when he checks it?
I DO NOT WANT A LINK!!!!!!!!
Mathematics
1 answer:
dedylja [7]3 years ago
8 0

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=\frac{P×T×R}{100} =$ \frac{850×8×8}{100} =$544

so

Total balance=S.I.+P=$544+$850=$1394.

<u>option b.$1,394.00 is your answer</u>

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Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of bein
Rus_ich [418]

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLEASE HELPPPPP ME IN BEGGING YOU
Juliette [100K]

Answer:

im going to say its B

Step-by-step explanation:

5 0
2 years ago
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Let $a$ and $b$ be nonzero real numbers such that
algol [13]
<h3>Answer:   -7/2</h3>

=========================================================

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

------------------

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

4 0
1 year ago
Solve for X<br><br> B. X<br> X<br> 152
krok68 [10]

Answer:

Step-by-step explanation:

180 - 152 = 28

2x + 28 = 180

2x = 152

x = 76

3 0
3 years ago
A sandwich shop offers 5 types of bread, 4 types of cheese, and 7 types of meat to choose from. Each sandwich will have 1 type o
katrin [286]

Answer:

I'm pretty sure the answer is B also known as 35

5 0
3 years ago
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