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Softa [21]
3 years ago
7

The simple interest x on an investment would take p dollars at an interest rate r or t years is given by x=prt. Find the time it

would take to earn $900 in interest on an investment of $21,000 at a rate of 4.6%
Mathematics
2 answers:
olga2289 [7]3 years ago
8 0

Answer:

It'd take 0.93 years to obtain that value.

Step-by-step explanation:

Since we were given the initial amount and the interest rate, we wish to know the time to earn 900 from those values. So we can isolate the variable we wish to find, in this case it's the time t.

prt = x

t = x/pr

Now we can apply the values that were given to us:

t = 900/(0.046*21000) = 900/966 = 0.93

It'd take 0.93 years to obtain that value.

Nana76 [90]3 years ago
6 0

Answer:

Step-by-step explanation:

Given:

Principal amount, p = $21,000

Interest, I = $900

Rate, r = 4.6%

Using simple interest formula,

I = (p × r × t)/100

Time, t = (900 × 100)/(21000 × 4.6)

= 0.932 year.

= 11.2 months.

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A motorcycle zoomed along the freeway, traveling 10 meters in
Nana76 [90]

Answer:

30 meters per second

Step-by-step explanation:

speed =\frac{distance}{time}\\speed =\frac{10}{\frac{1}{3} }\\speed =10*3\\speed = 30mps

4 0
3 years ago
Help, please. I just need an answer, so if anyone is bored, for the love of god please... ​
Alla [95]

Answer:B & E

Step-by-step explanation:

We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.

3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4}x-\frac{7}{4}

Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.

<em>For reference, the point-slope form is </em>y-y_1=m(x-x_1)

y+2=\frac{3}{4}(x+4)\\y+2=\frac{3}{4}x+3\\y=\frac{3}{4}x+1

The first line is found in option E, so option E is one of the correct options.

We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).

-\frac{3}{4}x+y=1

If we multiply the whole equation by -4, we can get rid of the fraction.

-4(-\frac{3}{4}x+y)=-4(1)\\3x-4y=-4

Hence, option B is also correct.

7 0
1 year ago
A parallel system functions whenever at least one of its components works. Consider a parallel system of 5 components, and suppo
Aneli [31]

Answer:

Probability that component 4 works given that the system is functioning = 0.434 .

Step-by-step explanation:

We are given that a parallel system functions whenever at least one of its components works.

There are parallel system of 5 components and each component works independently with probability 0.4 .

Let <em>A = Probability of component 4 working properly, P(A) = 0.4 .</em>

<em>Also let S = Probability that system is functioning for whole 5 components, P(S)</em>

Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;

P(A/S) =  {Means P(component 4 working and system also working)

divided by P(system is functioning)}

  P(A/S) =  {In numerator it is P(component 4 working) and in

                denominator it is P(system working) = 1 - P(system is not working)}

Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 - 0.6^{5} .

 Hence, P(A/S) = \frac{0.4}{1 - 0.6^{5} } = 0.434.    

7 0
3 years ago
Improper fraction for 5 9/13
ipn [44]

Answer: 87/13

Step-by-step explanation: You take you 5 and times it by 13 and + 9 because the equation is saying 13/13 5 times plus the 9/13,

So 6*13 = 78 78+9=87 and then you take the 87 and put it over the 13,

So, now you have your answer: 87/13

4 0
3 years ago
Which answer is a solution of the equation?
Nuetrik [128]

2x + y = 5

Put the coordinates of the points to the equation and check it:

A. 5 - not make sense

B. (1, 2) - x = 1, y = 2

2(1) + 2 = 2 + 2 = 4 ≠ 5  NOT

C. (2, -1) - x = 2, y = -1

2(2) + (-1) = 4 - 1 = 2 ≠ 5    NOT

D. (3, -1) - x = 3, y = -1

2(3) + (-1) = 6 - 1 = 5    YES

<h3>Answer: D. (3, -1).</h3>
8 0
3 years ago
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