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3 years ago

5

You invest 1200 in an account that pays an interest rate of 7.25%, calculate balance of your account after 7 years. Round to the

nearest hundredth

1 answer:

oee [108]3 years ago

7 0

Compound or simple interest

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Need help finding answer

wolverine [178]

Answer:

BD is 3.75 units

Step-by-step explanation:

Given:

BA = 6 units

CA = 8 units

DC = 5 units

To Find:

BD = ?

Solution:

Triangle Angle Bisector Theorem.

An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

I.e Here in Δ BAC,

AD is the Bisector of ∠ A

∴ $\frac{BA}{CA}= \frac{BD}{DC}$

Substituting th above given values in it we get

∴ $\frac{6}{8}= \frac{BD}{5}$

∴ $BD = 5\times \frac{6}{8} \\\\BD = \frac{30}{8} \\\\BD = 3.75\ units\\$

Therefore BD is 3.75 units

5 0

3 years ago

X^2 +8 =0 please show all work

Virty [35]

$x^2+8=0\\
x^2=-8\\
x=-\sqrt{-8} \vee x=\sqrt{-8}\\
x=-\sqrt{8\cdot(-1)} \vee x=\sqrt{8\cdot(-1)}\\
x=-\sqrt{8}\cdot\sqrt{-1} \vee x=\sqrt{8}\cdot\sqrt{-1}\\
x=-\sqrt{4}\cdot \sqrt2\cdot i \vee x=\sqrt{4}\cdot \sqrt 2\cdot i\\
x=-2\sqrt{2}i \vee x=2\sqrt{2}i
$

6 0

3 years ago

Solve the following equation, and explain your solution method.x³+7x²-x-7=0

Korvikt [17]

Answer:

$x_{1}=-1\\ x_{2}=1\\ x_{3}=-7$

Step-by-step explanation:

The easiest way to solve this equation is to first find and highlight a common factor between two terms. In this case, x^2 can be factored to rewrite the equation as follows:

$x^{2} (x+7)-x-7=0\\x^{2} (x+7) = (x+7)$

The (x+7) term can be crossed out on both sides and then for this equation to be true, there are two possibilities:

Either

$x^{2} =1\\x_{1} = 1\\x_{2} = -1$

or

$(x+7) = 0\\x_{3} = -7$

Therefore, the solutions to this equation are -1, 1 or -7.

7 0

3 years ago

Simplify these rates: a) 480km in 6 hrs ____________________________________ b) $56 for 7hrs ___________________________________

klio [65]

Answer:

a. 80km/hr

b. 8 dollars an hour

c. 30 passengers on one bus

d. 6 degrees a minute

Step-by-step explanation:

You want to divide these down to the smallest rate possible, so you divide.

480/6=80

80 km/hr

56/7=8

8 dollars and hour

270/9=30

30 passengers in one bus

54/9=6

6 degrees in one minute

3 0

3 years ago

A student at St. F. X. decided to become his own employer by using his car as a taxi for the summer. It costs the student $693.

polet [3.4K]

Given :

Insurance cost , $693.00 .

Gas cost , $452.00 .

Average charge per fare , $7.00 .

Tuition fee , $3280.00 .

To Find :

The fare he have to get to pay his fee .

Solution :

Let , number of fair required is n .

Therefore , total profit is :

$Profit = earning - expenditure \\Profit = 7n - 693-452\\Profit = 7n-1145$

Now , to pay his fee this profit must be equal to his fee because he don't have other expenditure .

So ,

$7n-1145=3280\\\\7n=4425\\\\n=\dfrac{4425}{7}\\\\n=632.1$

But number of rides cannot be in decimal so minimum rides he must get is

632+1 = 633 .

Hence, this is the required solution .

8 0

3 years ago