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Schach [20]
3 years ago
14

You have $50,000 to invest (YAY!). You need $350,000 in the account to retire in 30 years. At what continuously compounded inter

est rate would you need to invest to reach your goal?
What formula will you be using? Type your answer in the first math box below.

In the following math boxes, make your substitutions and show the ALGEBRAIC steps to your solution.

Mathematics
1 answer:
Luden [163]3 years ago
4 0

Answer:

You need to invest at a continuous compound interest rate of 6.701355026%

Step-by-step explanation:

The formula to use is the compound interest formula:A=P(1+r/100)^t

where A=Total amount at the end of the investment period

P=Principal amount

R=Rate of interest

T=Investment tenor/time

Now,

350,000=50000(1+r/100)^30 is what needs to be simplified to 6.701355026%

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timama [110]

We have that

Her house is -----------------------24 feet tall

Her model is----------------------- 8 inches tall

The inch is a unit of length used primarily in the imperial and U.S. customary measurement systems, representing 1/12 of a foot

 in =ft * 12.000

24 feet=12*24=288 inches

Her house is -----------------------288 inches tall

Her model is----------------------- 8 inches tall

 

288/8=36 scale of reduction

Her brother is 5 feet tall

<span>The figurine in the model that represents her brother  (5/36)</span>=0.138889 feet

<span>0.138889*12=1.67 inches</span>

3 0
3 years ago
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What is the domain of<br> f(x) = -x2 + 4<br> g(x) = -3x
erica [24]

Answer:

Step-by-step explanation:

(−∞,∞)

6 0
3 years ago
Line AB goes through the points A (0, –4) and B (6, 2). Which equation represents line AB?
insens350 [35]

Answer:

Option C) y + 4 = x

Step-by-step explanation:

We are given the following information in the question:

Line AB goes through the points A (0, –4) and B (6, 2).

We can use the two-point form of equation of straight line.

The equation of line is given by:

(y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)

where, (x_1,y_1), (x_2.y_2) is the point through which the line passes.

The equation of line is:

(y+4) = \displaystyle\frac{2+4}{6-0}(x-0)\\\\(y+4)= x\\y = x-4

Thus, the equation of line AB is given by Option C) y + 4 = x

7 0
3 years ago
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Maggi buys 3/4 pound of blueberries and uses 3/5 of them to make a smoothie. How many pounds of blueberries did Maggi use to mak
devlian [24]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
IceJOKER [234]

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0
3 years ago
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