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3 years ago

10

Meredith deposits $1,400 into an account that earns 3% annual simple interest. How many years will it take Meredth to earn $294

in simple interest on the account?

1 answer:

Valentin [98]3 years ago

8 0

Answer:

21 years

Step-by-step explanation:

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how much would $150 invested at 8% interest compounded anually be worth after 13 years? A(t)=P(1+r/n)^

PIT_PIT [208]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$150\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &13
\end{cases}
\\\\\\
A=150\left(1+\frac{0.08}{1}\right)^{1\cdot 13}\implies A=150(1.08)^{13}\implies A\approx 407.9435589$

3 0

3 years ago

A cereal company's cost, in thousands of dollars, is represented by the function C(x)=2x+4500 and its revenue, in thousands of d

jekas [21]

Given , revenue function : $R(x)= 5x$

Cost function $C(x) = 2x+4500$

Profit = Revenue - Cost

Hence, P = R(x) - C(x)

Total revenue for x = 12000 is $R(12000) = 5(12000) = 60000$

Total cost for x = 12000, $C(12000) = 2(12000)+4500 = 28500$

Profit = 60000-28500 = 31500

Answer = 31500

6 0

3 years ago

(Q7) Determine the graph of the polar equation r = 12/6+4 cos theta.

masya89 [10]

ANSWER

b.

EXPLANATION

The given polar equation is,

$r = \frac{12}{6 + 4 \cos( \theta) }$

Cross multiply to get,

$r(6 + 4 \cos( \theta) ) = 12$

$6r + 4r\cos( \theta) ) = 12$

Substitute,

$r\cos( \theta) = x$

and

$r = \sqrt{ {x}^{2} + {y}^{2} }$

$6 \sqrt{ {x}^{2} + {y}^{2} } + 4x = 12$

$3\sqrt{ {x}^{2} + {y}^{2} } + 2x = 6$

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

$9({x}^{2} + {y}^{2}) =( 4 - 2x ) ^{2}$

$9{x}^{2} + 9 {y}^{2} =16 - 16x + 4x ^{2}$

$5{x}^{2} + 9 {y}^{2} + 16x = 16$

This is an ellipse whose center is shifted to the left with orientation on the x-axis

The correct choice is B.

8 0

3 years ago

1: Select Proportional or Not Proportional to correctly classify each pair of ratios. Proportional Not Proportional

Nitella [24]

Answer: 1. Proportional 2. Not Proportional

Step-by-step explanation: cross multiply.

1. 16*9=144

36*4=144

2. 8*80= 640

20*20=400

8 0

3 years ago

What's the factored form of 0.00008x^4+200?

pickupchik [31]

Answer:

0.00008 (X^4 + 250000) is the answer

Step-by-step explanation:

5 0

3 years ago