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3 years ago

your 5-year loan of $14 000 is at 4.3% compounded annually. How much will you have paid in total for your loan?

Mathematics

1 answer:

kogti [31]3 years ago

4 0

Answer:

$17, 280.00

Step-by-step explanation:

A= P(1+r)^t

A= 14000(1+0.043)^5

A= 17, 280

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Find the magnitude of the vector <−4, −6>.<br><br> 8<br> 7.2<br> 10<br> 6.4

PolarNik [594]

The magnitude of the vectors is 7.2

The magnitude of a vector is resolved by using a formula

<h3>Magnitude of a Vector</h3>

This is the displacement between two vectors and can be calculated as

$x^2 = y^2 + z^2\\x = \sqrt{y^2 + z^2} \\$

where x is the magnitude of displacement between y and z.

In this question, the vectors are

-4
-6

Let's find the magnitude of this vector

$x = \sqrt{(-4)^2+(-6)^2}\\x = \sqrt{16+36}\\x = \sqrt{52}\\x = 7.2$

The magnitude of the vectors is 7.2

Learn more on magnitude of vectors here;

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4 0

2 years ago

HELP FAST GIVE A DECENT AMOUNT OF POINTS! FOR EASY!

laila [671]

Answer:

The value of angle is 56.9°

Step-by-step explanation:

First, you have to find the length of hypotenuse using Pythagoras' Theorem, c² = a² + b² :

${c}^{2} = {a}^{2} + {b}^{2}$

$let \: a = 8.25 \\ let \: b = 6.45$

${c}^{2} = {8.25}^{2} + {6.45}^{2}$

${c}^{2} = 68.0625 + 41.6025$

${c}^{2} = 109.665$

$c = \sqrt{109.665}$

$c = 10.47cm \: (4s.f)$

In order to find θ, you have to apply Sine Rule :

$\sin(θ) = \frac{opposite}{adjacent}$

$let \: oppo. = 8.77 \\ let \: hypo. = 10.47$

$\sin(θ) = \frac{8.77}{10.47}$

$θ = { \sin( \frac{8.77}{10.47} ) }^{ - 1}$

$θ = 56.9 \: (1d.p)$

4 0

3 years ago

∠ and ∠ are supplementary angles. If ∠ = (2 − 30)° and ∠ = 4, find the measure of the larger angle

Gala2k [10]

Answer:

We get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle

Step-by-step explanation:

we have ∠A = (2x − 30)° and ∠B = 4x, and we need to find measure of larger angle. And ∠A and ∠A are supplementary angles.

If the angles are supplementary there sum is equal to 180° i.e ∠A + ∠B = 180°

So, First we have to find the value of x. and then we can determine larger angle.

We know: ∠A + ∠B = 180

2x-30+4x=180

6x-30=180

6x=180+30

6x=210

x=210/6

x=35

So, value of x is x=35

Now finding ∠A and ∠B

∠A = (2x − 30)°

∠A = (2(35) − 30)°

∠A = (70 − 30)°

∠A =40°

and ∠B = 4x

∠B = 4(35)

∠B = 140°

So, we get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle

6 0

3 years ago

The triangle angle sum property states that the measures of the 3 angles of any triangle must add to 360 degrees.

serg [7]

Answer: False

Step-by-step explanation:

Triangle is a polygon with 3 sides. The formula for calculating the sum of angle in a polygon is given as :

$(n-2)180$

where n is the number of sides , so to calculate the sum of angles in a triangle we have :

$(3-2) 180$

= 1 x 180

= 180

Therefore : The triangle angle sum property states that the measures of the 3 angles of any triangle must add to 180 degrees.

5 0

3 years ago

2/3 (x - 7 ) = -2<br> AL y = 5/3 B: 8 1/3 C: 10 D: 4

nika2105 [10]

Answer:

D: 4

Step-by-step explanation:

1. Solve the equation

$\begin{array}{rcl}\dfrac{2}{3}(x - 7) & = & -2\\\\2(x - 7) & = & -6\\x - 7 & = & -3\\x & = & \mathbf{4}\\\end{array}$

2. Check

$\begin{array}{rcl}\dfrac{2}{3}(4 - 7) & = & -2\\\\\dfrac{2}{3}(-3) & = & -2\\\\-2 & = & -2\\\end{array}$

8 0

3 years ago