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Vladimir79 [104]

3 years ago

5

Colin invests £4000 into his bank account. He receives 5% per year simple interest. How much will Colin have after 3 years? Give

your answer to the nearest penny where appropriate.

1 answer:

MakcuM [25]3 years ago

7 0

Answer:

2750

Step-by-step explanation:

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Jorge has some dimes and quarters. He has 10 more dimes than quarters and the collection of coins is worth $2.40. How many dimes

PIT_PIT [208]

Answer:

14 dimes and 4 quarters

Step-by-step explanation:

x= number of dimes

y=number of quarters

x-10=y

0.10x+0.25y=2.40

substitute for y

0.10x+0.25(x-10)=2.40

0.35x-2.50=2.40

0.35x=4.90

x=14

y=4

5 0

3 years ago

A tire company finds that the lifespan for one brand of its tires is normally distributed with a mean of 47,500 miles and a stan

Illusion [34]

Answer:

42580 miles

Step-by-step explanation:

Mean = $\mu = 47500$

$\sigma = 3000$

The manufacturer does not want to replace more than 5% of the tires

$P(X\leq x)=5\%$

$P(\frac{x-\mu}{\sigma}\leq \frac{x-47500}{3000})=0.05$

By using normal table values :

$\frac{x-47500}{3000}=-1.64$

$x=(-1.64 \times 3000)+47500$

$x=42580$

Hence the approximate number of miles for the warranty is 42580 miles

6 0

4 years ago

This is a proportion. What is the value of X?

Verizon [17]

Answer:

x = 15 or x = - $\frac{2}{5}$

Step-by-step explanation:

Cross- multiplying gives

(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )

238x² + 172x + 30 = 243x² + 99x

rearrange into standard form : ax² + bx + c = 0

5x² - 73x - 30 = 0 ← in standard form

consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )

the factors are - 75 and + 2

Use these factors to split the middle term

5x² - 75x + 2x - 30 = 0 ( factor by grouping )

5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)

(x - 15)(5x + 2) = 0

equate each factor to zero and solve for x

x - 15 = 0 ⇒ x = 15

5x + 2 = 0 ⇒ x = - $\frac{2}{5}$

7 0

3 years ago

Please help me<br>no links or I WILL report you<br>thank you in advance

mafiozo [28]

Answer:

the answer is 24 because if you 6 x 4 it's 24

also with 4x6 it's still 24

plz give me a brailnliess

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

3 years ago