All categories

4 years ago

The combined yearly interest for x dollars invested at 13% and 20,000-x dollars invested at 8% is

Mathematics

1 answer:

Marina CMI [18]4 years ago

5 0

Answer:

total = 1600 +0.05x

Step-by-step explanation:

I = Prt

You want the sum of the interest from the two investments. The interest at 13% is ...

I = Prt = x(0.13)(1) = 0.13x

The interest at 8% is ...

I = Prt = (20000-x)(0.08) = 1600 -0.08x

Then the total interest earned is ...

total = 0.13x + (1600 -0.08x)

total = 1600 +0.05x

You might be interested in

Express the fractions 1/2, 3/16, and 7/8 with an LCD

Ket [755]

Least Common Denominator (LCD) is the least number which all the denominators can divide without remainder. The given denominators are 2, 16 and 8. The least number 2, 16 and 8 will divide without remainder is 16. Therefore, to express the fractions 1/2, 3/12, and 7/8 with an LCD, we multiply both the numerator and the denominator of each of the fractions with a common factor that makes the denominator to be 16. Therefore, 1/2, 3/16 and 7/8 expressed with an LCD are (1 x 8) / (2 x 8), 3/16, (7 x 2) / (8 x 2) = 8/16, 3/16, and 14/16.

5 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Katena32 [7]

Answer:

(a)

$5^{-3}=\frac{1}{125}$

(b)

$-5^{-3}=-\frac{1}{125}$

(c)

$(-5^{-3})^{-1}=-125$

(d)

$(-5^{-3})^{0}=1$

Step-by-step explanation:

(a)

$5^{-3}$

we can use property of exponent

$a^{-n}=\frac{1}{a^n}$

we get

$5^{-3}=\frac{1}{5^3}$

$5^{-3}=\frac{1}{5\times 5\times 5}$

$5^{-3}=\frac{1}{125}$ ........Answer

(b)

$-5^{-3}$

we can use property of exponent

$a^{-n}=\frac{1}{a^n}$

we get

$-5^{-3}=-\frac{1}{5^3}$

$-5^{-3}=-\frac{1}{5\times 5\times 5}$

$-5^{-3}=-\frac{1}{125}$ ........Answer

(c)

$(-5^{-3})^{-1}$

we can use property of exponent

$(a^{n})^m=a^{m\times n}$

we get

$(-5^{-3})^{-1}=(-5)^{-3\times -1}$

$(-5^{-3})^{-1}=(-5)^3$

$(-5^{-3})^{-1}=(-5)\times (-5)\times (-5)$

$(-5^{-3})^{-1}=-125$ ........Answer

(d)

$(-5^{-3})^{0}$

we can use property of exponent

$(a^{n})^m=a^{m\times n}$

we get

$(-5^{-3})^{0}=(-5)^{-3\times 0}$

$(-5^{-3})^{-1}=(-5)^0$

we can use property

$a^0=1$

$(-5^{-3})^{0}=1$ ........Answer

4 0

3 years ago

Solve the equation. 6 = 2(x + 8) - 5x A. 2/3 B. 3 1/3 C. - 2/3 D. -3 1/3

Zinaida [17]

6 = 2(x+8) - 5x
⇒ 2x+ 2*8 -5x= 6
⇒ (2x -5x)+ 16= 6
⇒ -3x = 6 -16
⇒ -3x = -10
⇒ x= -10/(-3)
⇒ x= 10/3
⇒ x= 3 1/3

The correct answer is B. 3 1/3~

4 0

3 years ago

Read 2 more answers

The ratio of a triangle is 2:3:4 the shortest side is 15 inches what is the perimeter

hjlf

The perimeter is the sum of the side lengths, or x+y+z. The perimeter is 67.5 inches.

7 0

4 years ago

Find the equation of (2,-1)

Elis [28]

You seem to have forgotten to add in the y-intercept or slope. For the information you have given, it could be any equation, so long as it passes through the point (2, -1), such as
y = -x + 1

7 0

4 years ago