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3 years ago

.Calculate the time in which ₦1,500 will amount to ₦9,000 at 20% per annum.

Mathematics

1 answer:

katovenus [111]3 years ago

3 0

Answer:

30 yrs

Step-by-step explanation:

SI = PRT/100

T = I × 100/PR

= 9000×100/1500×20

= 900000/30000

= 30 yrs

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What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

Range:

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

3 years ago

Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy

wlad13 [49]

Answer:

$102

Step-by-step explanation:

if Tommy spent 7 dollars on pie, that means he had more money than that amount before.

So before he spent 7 dollars, he had those 7 dollars.

Add 7 with 95

95 + 7 = 102

5 0

3 years ago

How to do the substitution in math?

seraphim [82]

Substitution method can be applied in four steps

Step 1:

Solve one of the equations for either x = or y = .

Step 2:

Substitute the solution from step 1 into the other equation.

Step 3:

Solve this new equation.

Step 4:

Solve for the second variable.

hope this helps you!

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3 years ago

A reactangle has a perimeter 182 in and length 52 in . what is the width ?

Misha Larkins [42]

The Width Should Be 130 Because If You Subtract 182-52 You Get 130

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3 years ago

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Simplify the expression using properties of exponents. 12a-9b-4 9a2b6

Free_Kalibri [48]

Check out -m-a-t-h-w-a-y-.-c-o-m- (This helps a lot!)

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