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2 years ago

Jake’s bank offers him an account with 3% interest, compounded

1 answer:

defon2 years ago

6 0

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to &\$1320\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, meaning once}
\end{array}\to &1\\

t=years\to &5
\end{cases}$

he'll be earning in interest, the difference from A to P, or A - P

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2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap

telo118 [61]

We need to use rational root theorem to find out roots here.

The rational root theorem states that if p(x) is a polynomial with integer coefficients and if $\frac{p}{q}$ is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.

Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.

And factors of leading coefficient is -1,1.

Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.

Let us plugin these in f(x) to find zeroes.

$f(-1)=(-1)^{4}+10(-1)^{3}+35(-1)^{2}+50(-1)+24 =1-10+35-50+24=0$

Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.

Let us use synthetic division to find quotient.

-1 | 1 10 35 50 24

| 0 -1 -9 -26 -24

1 9 26 24 0

Hence quotient is $x^{3} +9x^{2} +26x+24$

Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.

$(-2)^{3}+9(-2)^{2}+26(-2)+24 = 0$

Hence x+2 is another factor.

Let us find quotient again using synthetic division.

-2 | 1 9 26 24

| 0 -2 -14 -24

1 7 12 0

Hence quotient is $x^{2} +7x+12$

Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.

$(-3)^{2}+7(-3)+12=-9-21+12=0$

Hence x+3 is also a factor.

Let us find quotient using synthetic division.

-3 | 1 7 12

| 0 -3 -12

1 4 0

Hence quotient is x+4.

So, $f(x)=x^{4}+10x^{3}+35x^{2}+50x+24 =(x+1)(x+2)(x+3)(x+4)$

Please have a look at the graph attached.

4 0

2 years ago

240,000 written as 10th power

kirill115 [55]

The answer is 24 to the 4th power

3 0

2 years ago

Write an algebraic rule to describe the translation C(5, –4)- ’(–2, 1).

Orlov [11]

A negative minus a negative is always a positive ;)

5 0

2 years ago

a museum has a collection of 75 sculptures. of those sculptures 15 are from greece what percent of the sculptures are from greec

zaharov [31]

Answer:

6.67% is as close as you can get

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find the sum or difference of (2m+7)-(3-4m)

pickupchik [31]

(2m + 7) - (3 - 4m)

First distribute the (-) in front of the quantity of 3 - 4m.
Think of it as this:

-1(3 - 4m)

You multiply each number inside the parenthesis by -1.

So:

3*-1 = -3
-4m * -1 = 4m

Now that you've distributed the negative you can remove the parenthesis.
Now you'll just set it all up like you would any normal problem. Because -3 is negative you'll make it subtract.... I'll show you what I mean:

2m + 7 - 3 + 4m

Combine like terms (Terms which have the same variables... in this case the same number of m's)

Rearranging them can help!

4m + 2m + 7 - 3

6m + 7 - 3

6m + 4, is our difference!

6 0

2 years ago

Read 2 more answers