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3 years ago

Please help with this question.

Mathematics

1 answer:

Anit [1.1K]3 years ago

4 0

The equation is

Area of a triangle = (1/2) · (base) · (height)

Plug in the numbers given in the question:

52 square inches = (1/2) · (base) · (13 inches)

Divide each side by (13 inches):

4 inches = (1/2) · (base)

Multiply each side by 2 :

8 inches = base

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Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current

exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

6 0

3 years ago

What is the Greatest common factor of 18x^2 and 36x

loris [4]

For this case we have that by definition, the Greatest Common Factor or GFC of two or more numbers, is the largest number that divides them without leaving residue.

So:

We look for the factors of 18 and 36:

18: 1,2,3,6,9,18

36: 1, 2,3,4, 6,9,18 ...

Thus, the GFC of both numbers is 18.

Then, the GFC of $18x ^ 2$ and $36x$ is:

$18x$

Answer:

$18x$

6 0

3 years ago

Find the future value of a 10-year investment of $3500 at a simple annual rate of 3.49%.

Setler79 [48]

Answer:

You can plug in the simple interest formula A=P(1+rt) to get the amount is equal to 3500 (the principal in this case) times 1+ 3.49/100(10). This is 3500(1.349), and this is $4721.5.

4 0

3 years ago

Solve for the base. Round to hundredths when necessary.

Elena-2011 [213]

Answer:

2730.54
18.8%
62.5% (decrease)

Step-by-step explanation:

The applicable formula is ...

rate = portion/base

so ...

base = portion/rate

Of course, a percentage is a fraction that has been multiplied by 100%.

1. base = portion/rate = 456/0.167 ≈ 2730.54

The base is about 2730.54.

2. rate = portion/base = 50/266 ≈ 0.18797 ≈ 18.8%

The rate is about 18.8%.

3. The decrease can be figured from ...

rate of change = (new amount)/(original) -1 = 33/88 -1

= -5/8 = -0.625 = -62.5%

The rate of decrease is 62.5%.

6 0

3 years ago

What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4

Tamiku [17]

Answer:

$k = \frac{1}{2}$

Step-by-step explanation:

Given

x 2 4 6 8

y 1 2 3 4

Required

Determine the constant of proportionality (k)

The relationship between x and y is:

$y = kx$

When y = 1, x = 2;

So, we have:

$1 = k * 2$

$2 * k = 1$

Make k the subject

$k = \frac{1}{2}$

Hence, the constant of proportionality is 1/2

7 0

3 years ago