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3 years ago

Colin invests £1200 into his bank account. He

Mathematics

1 answer:

Zarrin [17]3 years ago

5 0

Answer:

1,344

Step-by-step explanation: So first I multiplied 1,200 by .03 because in order to multiply by a percent you need to move it decimal back two times. After you multiply 1200 x .03 = 36. Next you would do 36 x 4 for the 4 years and it would = 144. Then you would add 144 to the original because it's interest and you would end up with Colin having 1,344.

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I need help with two algebra problems please!

postnew [5]

Fisrst one is just add the functions

(f+g)(x)=f(x)+g(x)=
8x^2+16x+6+x^3-3x^2-9=
(f+g)(x)=x^3+5x^2+16x-3

multiply
ok

f(x)g(x)=(x^3-4x+2)(x^2+2)
just multiply and expand yourself because I don't have my graphing calculator with me right now

8 0

3 years ago

The first three terms of an arithmetic series are 6p+2, 4p²-10 and 4p+3 respectively. Find the possible values of p. Calculate t

Doss [256]

Answer:

First Case:

$\displaystyle p=\frac{5}{2}\text{ and } d=-2$

Second Case:

$\displaystyle p=-\frac{5}{4}\text{ and } d=\frac{7}{4}$

Step-by-step explanation:

We know that the first three terms of an arithmetic series are:

$6p+2, 4p^2-10, \text{ and } 4p+3$

Since this is an arithmetic sequence, each subsequent term is d more than the previous term, where d is our common difference.

Therefore, we can write the second term as;

$4p^2-10=(6p+2)+d$

And, likewise, for the third term:

$4p+3=(6p+2)+2d$

Let's solve for d for each of the equations.

Subtracting in the first equation yields:

$d=4p^2-6p-12$

And for the second equation:

$2d=-2p+1$

To avoid fractions, let's multiply the first equation by 2. Hence:

$2d=8p^2-12p-24$

Therefore:

$8p^2-12p-24=-2p+1$

Simplifying yields:

$8p^2-10p-25=0$

Solve for p. We can factor:

$8p^2+10p-20p-25=0$

Factor:

$2p(4p+5)-5(4p+5)=0$

Grouping:

$(2p-5)(4p+5)=0$

Zero Product Property:

$\displaystyle p_1=\frac{5}{2} \text{ or } p_2=-\frac{5}{4}$

Then, we can use the second equation to solve for d. So:

$2d_1=-2p_1+1$

Substituting:

$\begin{aligned} 2d_1&=-2(\frac{5}{2})+1 \\ 2d_1&=-5+1 \\ 2d_1&=-4 \\ d_1&=-2\end{aligned}$

So, for the first case, p is 5/2 and d is -2.

Likewise, for the second case:

$\begin{aligned} 2d_2&=-2(-\frac{5}{4})+1 \\ 2d_2&=\frac{5}{2}+1 \\ 2d_2&=\frac{7}{2} \\ d_2&=\frac{7}{4}\end{aligned}$

So, for the second case, p is -5/4, and d is 7/4.

By using the values, we can determine our series.

For Case 1, we will have:

17, 15, 13.

For Case 2, we will have:

-11/2, -15/4, -2.

8 0

2 years ago

4 bags of cement do 18 m² how many m^2 can be done with seven bags

nikitadnepr [17]

Answer:

31.5 m^2

Step-by-step explanation:

To find the amount for 7 bags, create a proportion.

$\frac{4}{18} =\frac{7}{y}$

To solve for y, cross multiply numerator to denominator of each fraction.

4(y) = 18(7)

4y= 126

y= 31.5

7 bags will do 31.5 m^2

5 0

3 years ago

Write the equation of the line in fully simplified slope-intercept form?

Blababa [14]

Answer:

y=1/5x+7

Step-by-step explanation:

i hope this helps :)

8 0

3 years ago

Select the correct answer

nydimaria [60]

Answer:

36 miles or

Step-by-step explanation:

If the track is nine miles long she ran 36 miles

9 times 4 = 36

there are four groups of nine the one are 4 groups of nine I that helps for next time

1 1 1 1

3 0

3 years ago