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2 years ago

Suppose you invest $2000 at an annual interest rate of 4.5%. how long will it take for it to earn $495?

1 answer:

3 0

100%:2000$=4.5%:x$, x=90$. After 1st year I earned 90$, now I have 2090$.
100%:2090$=4.5%:x$, x=94.5$. After 2nd year I earned 94.5$ more, now I have 2184.05$.
100%:2184.05$=4.5%:x$, x=98.28$. After 3rd year I have 2282.33$.
100%:2282.33$=4.5%:x$, x=102.71$. After 4th year I have 2385.04$.
100%:2385.04$=4.5%:x$, x=107.33$. After 5th year I have 2492.37$.

So I need 6 years to earn 495$.

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Watch help video

NARA [144]

The Answer is
X=10

Explanation:

8 0

2 years ago

Solve for m. 5m + 3m - 8 = 64 a m = 9 b m = 2 c m = -2 d m = 5

Vesnalui [34]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{m = 9}}}}}$

Option A is the correct option

Step-by-step explanation:

$\sf{5m + 3m - 8 = 64}$

Collect like terms

⇒ $\sf{8m - 8 = 64}$

Move 8 to right hand side and change it's sign

⇒ $\sf{8m = 64 + 8}$

Add the numbers

⇒ $\sf{8m = 72}$

Divide both sides of the equation by 8

⇒ $\sf{ \frac{8m}{8} = \frac{72}{8} }$

Calculate

⇒ $\sf{m = 9}$

Hope I helped!

Best regards!!

7 0

3 years ago

Read 2 more answers

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...rationalizing

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...taking 2 as a common factor

⇒ $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As, $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

⇒ $cos(45-60)=\frac{( 1.41+2.44)}{4}$

⇒ $cos(45-60)=\frac{( 3.85)}{4}$

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

2 years ago

I-Ready Which expression shows 3 2/5 + (-7 1/5) as the sum of integer and fractional parts

pochemuha

Pretty sure it’s bottom left.

8 0

2 years ago

The mean of a set of credit scores is Mu = 690 and sigma = 14. Which credit score is within a z-score of 3.3? 634 640 720 750

xz_007 [3.2K]

Answer:

720

Step-by-step explanation:

To solve this question, we would be using the formula for z- score

The formula for calculating a z-score is z = (x-μ)/σ

where x = raw score

μ = population mean

σ = sigma = population standard deviation.

From the question, we are given

The mean of a set of credit scores Mu = 690

sigma = population standard deviation 14

z - score = 3.3

This means we are to find x

z = (x-μ)/σ

3.3 = x - 690/ 14

Cross Multiply

3.3 × 14 = x - 690

46.2 = x - 690

x = 690 + 46.2

x = 736.2

Since we are told that it is a range, the closest out of the options given to our calculated x which is 736.2 is 720

8 0

3 years ago

Read 2 more answers