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2 years ago

6

You are saving up to buy a new car and deposit $1300 into an account that pays an annual interest rate of 5% compounded quarterl

y. How much will be in
the account after 6 years?

1 answer:

ValentinkaMS [17]2 years ago

5 0

Answer:

I believe the answer is $1,742.12

Sorry if im wrong!

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QUÉ ES EL BASTA NUMÉRICO

Lemur [1.5K]

Answer:

relating to or expressed as a number or numbers.

Step-by-step explanation:

8 0

2 years ago

A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac

34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0

3 years ago

I NEED HELP IDENTIFYING THE SLOPE PLEASE !!! Pic attatched !!!!

Alexus [3.1K]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = 2,4 ) and (x₂, y₂ ) = (5, 1)

m = $\frac{1-4}{5-2}$ = $\frac{-3}{3}$ = - 1 ← negative slope

Repeat

with (x₁, y₁ ) = - 7,8) and (x₂, y₂ ) = (- 7, 0)

m = $\frac{0-8}{-7+7}$ = $\frac{-8}{0}$

Division by zero is undefined, thus slope is undefined.

Repeat with

(x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (- 4, - 3)

m = $\frac{-3+3}{-4-6}$ = $\frac{0}{-10}$ = 0 ← zero slope

Repeat with

(x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 2)

m = $\frac{2-5}{-1-3}$ = $\frac{-3}{-4}$ = $\frac{3}{4}$ ← positive slope

7 0

3 years ago

Find the solution set.2x^2+3x=2 separate the two values with a comma.

inna [77]

Answer:

x = -2, 1/2

Step-by-step explanation:

Step 1: Isolate everything to 1 side

2x² + 3x - 2 = 0

Step 2: Factor

(2x - 1)(x + 2) = 0

Step 3: Find roots

2x - 1 = 0

2x = 1

x = 1/2

x + 2 = 0

x = -2

5 0

3 years ago

Multiply? I don't know how to do this o.o<br><br> (X+4√2) (x-4√2) (x-3i)

Korolek [52]

Answer:

$x^{3} -(3i) \; x^{2} -32x + 96 i$ .

Step-by-step explanation:

Notice that the first two factors are in the form $(x-a)(x+a)$ , which is equal to $(x^{2} - a^{2})$ . Start by combining and expanding these two factors:

Let $a = 4\sqrt{2}$ .

$a^{2} = 16 \times 2 = 32$ .

$(x + a) (x - a) = x^{2} - a^{2} = x^{2} -32$ .

This expression can now be expressed as $(x^{2} - 32)(x - 3i)$ . $i$ stands the unit imaginary number, where $i^{2} = -1$ . Unless $i$ is raised to a certain power other than $1$ , it can be treated just like a constant.

Expand this expression using FOIL:

$\begin{aligned}&(x^{2} - 32)(x - 3i)\\=&\underbrace{x^{2}\cdot x}_{\verb!F!} +\underbrace{(x^{2})(-3i)}_{\verb!O!} + \underbrace{(-32)x}_{\verb!I!} + \underbrace{(-32)(-3i)}_{\verb!L!}\\=& x^{3} -(3i)x^{2}-32x + 96i \end{aligned}$ .

6 0

3 years ago