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Radda [10]
3 years ago
14

After 5 years, Marcel's account earned $900 in interest. If the interest rate (in decimal form) is 0.06, how much did Marcel ini

tially invest?
Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0

Answer:

$3000

Step-by-step explanation:

I= PRT÷100

where,

I = interest = 900

T= 5

R/100 = 0.06

P = ?

I= PRT/100

900= P × 5 × 0.06

P = 900÷ 0.3

P= 3000

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What is the equation of the line that passes through the point (3,-3) and has a slope of 0?
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7 0
3 years ago
Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.
vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}

So, it becomes,

\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ

Hence, the value of cos theta is -0.352.

8 0
3 years ago
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