Ask question

Ask question

All categories

3 years ago

7

A 90-day simple interest loan in the amount of $2350 will be paid in full in the amount of $2500 . Find the rate of the loan.

1 answer:

ivolga24 [154]3 years ago

6 0

Answer:

The rate of simple interest is 25.89 %

Step-by-step explanation:

Given as :

The principal = $2350

The Amount = $2500

The time period = 90 days = $\frac{90}{365}$ year = 0.2465 year

Let The rate of interest = R %

So, Interest = Amount - Principal

Or, Interest = $2500 - $2350 = $150

<u>From Simple Interest method </u>

Simple Interest = $\frac{Principal\times rate\times Time}{100}$

Or, $150 = $\frac{$2350\times rate\times 0.2465 }{100}$

or, $150 × 100 = $579.275 × Rate

So, Rate = $\frac{15000}{579.275}$

∴ Rate = 25.89 %

Hence The rate of simple interest is 25.89 % Answer

You might be interested in

A medium-sized (4-pound) sugar pumpkin should yield around 1½ cups of mashed pumpkin. So, if a 4-pound pumpkin will yield about

Greeley [361]

Answer: 948

Step-by-step explanation:

From the question, we are informed that 4-pound pumpkin will yield about 1.5 cups of mashed pumpkin (pumpkin puree).

Therefore, the number of cups of pumpkin puree that Steve Geddes' 2,528-pound pumpkin will yield will be:

= (2528/4) × 1.5

= 632 × 1.5

= 948 cups of pumpkin puree

4 0

3 years ago

BRAINLIST AND 30 POINTS

svetlana [45]

Answer:

1/16

Step-by-step explanation:

So if you want to divide an amount equally, you divide the numbers. In this scenario, what you would do is this:

1/2 needs to be split 8 times

(1/2)/8

If you have something like this where the numerator is a fraction, then you multiply 2x8. that gives you 16, so now you add the 1 on top and you get 1/16.

6 0

2 years ago

Mr. Patel bought lunch at a restaurant for $7.35. If he paid with a $10.00 bill, how much change did he get back?

Allisa [31]

2.65 dollars and cents

8 0

2 years ago

calcola la misura della diagonale di un rettangolo sapendo che il perimetro è 388 cm e la base misura 168.

Hoochie [10]

Answer:

41.6 cm

Step-by-step explanation:

5 0

2 years ago

Find the distance between a point (– 2, 3 – 4) and its image on the plane x+y+z=3 measured across a line (x + 2)/3 = (2y + 3)/4

dimaraw [331]

Answer:

Distance of the point from its image = 8.56 units

Step-by-step explanation:

Given,

Co-ordinates of point is (-2, 3,-4)

Let's say

$x_1\ =\ -2$

$y_1\ =\ 3$

$z_1\ =\ -4$

Distance is measure across the line

$\dfrac{x+2}{3}\ =\ \dfrac{2y+3}{4}\ =\ \dfrac{3z+4}{5}$

So, we can write

$\dfrac{x-x_1+2}{3}\ =\ \dfrac{2(y-y_1)+3}{4}\ =\ \dfrac{3(z-z_1)+4}{5}\ =\ k$

$=>\ \dfrac{x-(-2)+2}{3}\ =\ \dfrac{2(y-3)+3}{4}\ =\ \dfrac{3(z-(-4))+4}{5}\ =\ k$

$=>\ \dfrac{x+4}{3}\ =\ \dfrac{2y-3}{4}\ =\ \dfrac{3z+16}{5}\ =\ k$

$=>\ x\ =\ 3k-4,\ y\ =\ \dfrac{4k+3}{2},\ z\ =\ \dfrac{5k-16}{3}$

Since, the equation of plane is given by

x+y+z=3

The point which intersect the point will satisfy the equation of plane.

So, we can write

$3k-4+\dfrac{4k+3}{2}+\dfrac{5k-16}{3}\ =\ 3$

$=>6(3k-4)+3(4k+3)+2(5k-16)\ =\ 18$

$=>18k-24+12k+9+10k-32\ =\ 18$

$=>\ k\ =\dfrac{13}{8}$

So,

$x\ =\ 3k-4$

$=\ 3\times \dfrac{13}{8}-4$

$=\ \dfrac{7}{4}$

$y\ =\ \dfrac{4k+3}{2}$

$=\ \dfrac{4\times \dfrac{13}{8}+3}{2}$

$=\ \dfrac{19}{4}$

$z\ =\ \dfrac{5k-16}{3}$

$=\ \dfrac{5\times \dfrac{13}{8}-16}{3}$

$=\ \dfrac{-21}{8}$

Now, the distance of point from the plane is given by,

$d\ =\ \sqrt{(x-x_1)^2+(y-y_1)^2+(z-z_1)^2}$

$=\ \sqrt{(-2-\dfrac{7}{4})^2+(3-\dfrac{19}{4})^2+(-4+\dfrac{21}{8})^2}$

$=\ \sqrt{(\dfrac{-15}{4})^2+(\dfrac{-7}{4})^2+(\dfrac{9}{8})^2}$

$=\ \sqrt{\dfrac{225}{16}+\dfrac{49}{16}+\dfrac{81}{64}}$

$=\ \sqrt{\dfrac{1177}{64}}$

$=\ 4.28$

So, the distance of the point from its image can be given by,

D = 2d = 2 x 4.28

= 8.56 unit

So, the distance of a point from it's image is 8.56 units.

4 0

3 years ago