Please be quick, I need this really soon!

Mathematics

1 answer:

Elena-2011 [213]2 years ago

8 0

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's first establish the simple interest formula which we will require to solve this problem as displayed below:

Simple Interest = Principal × Rate of Interest × No. of Time Periods

I = PRN

Now let's substitute the values from the problem into this formula and solve as displayed below:

I = $15

P = $150

R = ?

N = 2 years

I = PRN

15 = 150 × R / 100 × 2

R / 100 = 15 / ( 150 × 2 )

R / 100 = 15 / 300

R = 5 / 100 × 100

R = 5%

ANSWER:

The simple annual interest rate for the loan is 5%. Therefore, the answer is:

B ) 5.0%

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Thank you <3

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Find the point that is 1/5 the way from A to B where<br> A(-7,4) and B(3, 10).

mestny [16]

Answer:

The coordinates of the point that is 1/5 the way from A to B is $(x,y) = (-5,\frac{26}{5})$

Step-by-step explanation:

Here, the given points are: A (-7,4) and B (3,10)

Let us assume the point M(x,y) on AB is such that

AM : AB = 1 : 5

⇒ AM : (AB - AM) = 1 : (5-1) = 1: 4

⇒ AM : MB = 1 : 4

Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2

$(x,y) = (\frac{m_2x_1+m_1x_2}{m_1+m_2} ,\frac{m_2y_1+m_1y_2}{m_1+m_2} )$

Here, in the given equation, m1: m2 = 1:4

So, the coordinates M(x,y) is given as:

$(x,y) = (\frac{(-7)(4) + 1 (3)}{1+ 4} ,\frac{4(4) + 1(10)}{1+4} )\\\implies (x,y) = (\frac{-28+3}{5} ,\frac{16+10}{5} ) = (\frac{-25}{5} ,\frac{26}{5} )\\\implies (x,y) = (-5,\frac{26}{5} )$

Hence, the coordinates of the point that is 1/5 the way

from A to B is $(x,y) = (-5,\frac{26}{5})$

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3 years ago

Gary buys a skateboard for<br> $145. What's the total cost<br> including 6% sales tax?

Licemer1 [7]

Answer:

$8.6

Step-by-step explanation:

The total tax is 8 dollars and 60 cents

4 0

2 years ago

Read 2 more answers

Given: △KLM, LM=20 3

egoroff_w [7]

Split the triangle into a 30-60-90 triangle. Since you have LM from that triangle, you can figure out the other sides. Then, using the leg from that triangle, the one next to it is a 45-45-90 triangle, meaning it's isosceles.

KM = 30 + 10√3

KL = 10√6

(sorry i'm not too sure if my "reasons" for statement/reason is correct)