All categories

3 years ago

What is the final amount if 2250 is decreased by 2% followed by a further 3% decrease?

Mathematics

2 answers:

sashaice [31]3 years ago

8 0

Answer:

2138.85

Step-by-step explanation:

Marrrta [24]3 years ago

3 0

Answer:

2138.85

Step-by-step explanation:

2250 decreased by 2% is

2% of 2250 subtracted from 2250

That’s

2% /100% x 2250

0.02 x 2250

So, decrease = 2250 - 45

= 2205

Now 2205 decreased by 3%

3% of 2205

3% /100% x 2205

0.03 x 2205

66.15

Decrease = 2205 - 66.15

= 2138.85

You might be interested in

Suppose Johnny invests $41,745 into an account, which has been earning interest for many years and he now has a total of $39,974

hoa [83]

Well, the interest literally mean the amount that add up to your previous capital that you invest in the past.
If you invest an amount of money and get an interest revenue out of it, the amount of your capital will be increased , not decreased

7 0

2 years ago

Read 2 more answers

PLEASE HELP PLEASE!!

Rudik [331]

The square root of 75 is 8.66, so it would be between 8 and 9

3 0

2 years ago

What is the meaning of rate

AlexFokin [52]

rate is the ratio between two related quantities in different units. ... In describing the units of a rate, the word "per" is used to separate the units of the two measurements used to calculate the rate.

6 0

2 years ago

Read 2 more answers

An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

2 years ago

What is an equation of the line that is parallel to y=3x-8 and passes through (1,8)

Alla [95]

Answer:

y = 3x + 5

Step-by-step explanation:

Two lines which are parallel have the same gradient. This means that the parallel line must have a gradient of 3x

y = 3x + c

To figure out c you substitute in the given coordinate for the x and y values

8 = 3(1) + c

c = 5

y = 3x + 5

4 0

3 years ago