a $1,000 savings account earns 2.3% interest compounded monthly. how long will it take to double the original investment?

For one History test, Keith had to answer 40 questions. Of these 40 questions, Keith answered 28 of them correctly. What percent

muminat

Answer:

Keith scored 70% on the History test.

Step-by-step explanation:

We have been given that for History test, Keith had to answer 40 questions. Of these 40 questions, Keith answered 28 of them correctly.

To find the percentage Keith got on History test, we will have to figure out 28 is what percent of 40.

$\text{Percentage scored by Keith on History test}=\frac{28}{40}\times 100$

$\text{Percentage scored by Keith on History test}=0.7\times 100$

$\text{Percentage scored by Keith on History test}=70$

Therefore, Keith scored 70% on the History test.

5 0

3 years ago

Fabian harvests 10 pounds of tomatoes from his garden he needs 2 2/5 pound to make a batch of soup. If he sets aside 2.8 pounds

dusya [7]

He can make 3 batches of soup.

Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.

0.2 is read as "two tenths," so 7.2 = 7 2/10

We divide this remaining number of pounds by 2 2/5 for each batch of soup:

7 2/10 ÷ 2 2/5

Convert each to an improper fraction:
72/10 ÷ 12/5

Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3

6 0

3 years ago

Calculate the amount and compound interest on Rs 5000 compounded annually or 2 years 6 months at the rate of 10% per annum.

cluponka [151]

Answer:

Amount

Rs 6345.30

Compound interest

Rs 1,345.30

Step-by-step explanation:

Here in this question, we are interested in calculating the amount and the compound interest on the value given.

To calculate the amount, we use the formula below;

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

Where; A is the amount which we want to calculate

P is the principal which is Rs 5,000

r is the interest rate per annum = 10% = 10/100 = 0.1

n is the number of times per year in which it is compounded ( since it is annually, then it is 1)

t is the number of years which is 2.5 years( kindly know that 6 months is same 1/2 year , so 6 months is same as 0.5, and thus 2 years 6 months becomes 2.5 years)

now let’s substitute all these values;

A = 5000(1 + 0.1/1)^(1*2.5)

A = 5000(1 + 0.1)^2.5

A = 5000(1.1)^2.5

A = 6,345.2935314294

This is approximately Rs 6,345.30

The second part of the question asks to calculate compound interest

Mathematically ;compound interest = Amount - principal

= 6345.3 - 5000 = Rs 1,345.30

7 0

3 years ago

If sin(x) = 0.28, what is cos(90° - x)

vlabodo [156]

$\bf \textit{Cofunction Identities}
\\\\
sin\left(\frac{\pi}{2}-\theta\right)=cos(\theta)
\qquad 
cos\left(\frac{\pi}{2}-\theta\right)=sin(\theta)
\\\\\\
tan\left(\frac{\pi}{2}-\theta\right)=cot(\theta)\qquad 
cot\left(\frac{\pi}{2}-\theta\right)=tan(\theta)
\\\\\\
sec\left(\frac{\pi}{2}-\theta\right)=csc(\theta)\qquad 
csc\left(\frac{\pi}{2}-\theta\right)=sec(\theta)$

therefore, sin(x) = cos(90° - x).

5 0

3 years ago

In a parallel circuit, the supply voltage is 120 V, 60 Hz. The resistance is 30 Ω and the inductive reactance is 40 Ω. What is t

kvasek [131]

Given : supply voltage = 120V;60 Hz

Inductive Reactance $(X_{L}) = 40$ Ω