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2 years ago

Write the reciprocal of -8

Mathematics

1 answer:

butalik [34]2 years ago

3 0

Answer:

1/-8

Step-by-step explanation:

You put the -8 into fraction form -8/1, and you switch the denominator and numerator and you get 1/-8 or -1/8. In decimal form that would be -0.125

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1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.

gavmur [86]

Answer:

$A(x) = 12000(1.04)^x$

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that $P = 12000$

Compounded at 4% interest annually.

This means that $r = 0.04, n = 1$

What equation will calculate the value in x years?

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(x) = P(1 + \frac{r}{n})^{nx}$

$A(x) = 12000(1 + 0.04)^x$

$A(x) = 12000(1.04)^x$

8 0

2 years ago

I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t

belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

$\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}$

Where

$\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}$

Thus,

$\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}$

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

$\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}$

Thus, from the theorem of similar triangles,

$\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}$

solving for y, we have

$\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}$

thus, YC = 10.

4 0

11 months ago

The Area of a square at right is 72 square units Find the value of X, <br>Did I do this right?

Assoli18 [71]

Yes, your work is correct.

The diagram does illustrate x²+6x+9=72. This is also represented by

(x+3)² = 72

We can take the square root of both sides:
$\sqrt{(x+3)^2}=\sqrt{72}
\\
\\x+3=\pm 6 \sqrt2
\\
\\x+3-3=\pm 6 \sqrt{2} -3
\\
\\x=-3\pm 6\sqrt{2}$

When we evaluate this, the answers are x = -11.5 or x = 5.5.

5 0

2 years ago

A kg of aluminum earns a collector $2.50 at the recycling center. If I collect 14 kg. Of aluminum cans, how much money will I ea

saul85 [17]

Answer:

$ 35

Step-by-step explanation:

$\frac{1}{14} = \frac{2.5}{x}$

$x = 14 \times 2.5 \\ \\ x = 35$

8 0

2 years ago

Read 2 more answers

Plz Help I would appreciate it!!!

andrew-mc [135]

Answer:

a) Similar triangles are triangles with the same shape but not necessarily the same size

b) 15/45 = 8/x

1/3 = 8/x (simplify the 15/45)

x = 8 * 3 (cross multiplication)

x = 24

c) y^2 = 15^2 + 8^2 (Pythagoras theorem)

y = *square root of* 15^2 + 8^2

y = 17

1/3 = 17/z

z = 17 * 3 (cross multiplication)

z = 51

6 0

3 years ago