Write an equation in slope-intercept form where the slope is 5 and y-intercept is 3.

7. Lee has $10.20 in a jar that contains only nickels

borishaifa [10]

<h3>There are 76 nickels in jar</h3>

Solution:

Let "d" be the number of dimes

Let "n" be the number of quarters

1 dime = $ 0.10

1 nickel = $ 0.05

There are 140 coins in the jar

Therefore,

d + n = 140

n = 140 - d ------- eqn 1

Lee has $10.20 in a jar that contains only nickels and dimes

Therefore,

$d \times 0.10 + n \times 0.05 = 10.20$

0.1d + 0.05n = 10.20 -------- eqn 2

Substitute eqn 1 in eqn 2

0.1d + 0.05( 140 - d) = 10.20

0.1d + 7 - 0.05d = 10.20

0.05d = 3.2

Divide both sides by 0.05

d = 64

Substitute d = 64 in eqn 1

n = 140 - 64

n = 76

Thus there are 76 nickels in jar

4 0

3 years ago

Assignment: Compound Interest Investigation

sukhopar [10]

To help Tyler better understand how his money will increase in an account that uses simple interest and one that uses compound interest, we are going to use two formulas: a simple interest formula for the accounts that use simple interest, and a compound interest formula for the accounts that use compound interest.
- Simple interest formula: $A=P(1+rt)$
where:
$A$ is the final investment value
$P$ is the initial investment
$r$ is the interest rate in decimal form
$t$ is number of years
- Compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where:
$A$ is the final investment value
$P$ is the initial investment
$r$ is the interest rate in decimal form
$t$ is he number of years
$n$ is the number of times the interest is compounded per year

1.
a. This is a compound interest account, so we are going to use our compound interest formula. We now that $P=1500$ , $t=5$ , and since the interest is compounded annually (1 time a year), $n=1$ . To find the interest rate in decimal form, we are going to divide it by 100%: $r= \frac{4}{100} =0.04$ . Now that we have all the values lets replace them in our compound interest formula:
$A=1500(1+ \frac{0.04}{1}) ^{(1)(5)}$
$A=1824.98$
We can conclude that after 5 years he will have $1824.98 in this account.
b. Here we will use our simple interest formula. We know that $P=1500$ , $t=5$ , and $r= \frac{4}{100} =0.04$ . Lets replace those values in our simple interest formula:
$A=1500(1+(0.04)(5))$
$A=1800$
We can conclude that after 5 years he will have $1800 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is $1824.98-1800=24.98$

2.
a. Here we are going to use our compound interest formula. We know that $P=2000$ , $t=1$ and $r= \frac{8}{100} =0.08$ . We also know that the interest is compounded Quaternary (4 times per year), so $n=4$ . Now that we have all our values lets replace them into our formula:
$A=2000(1+ \frac{0.08}{4} )^{(4)(1)}$
$A=2164.86$
We can conclude that after 1 year he will have $2164.86 in this account.
b. Here we are going to use our simple interest formula. We know that $P=2000$ , $t=1$ , and $r= \frac{8}{100} =0.08$ . Once again, lets replace those values in our formula:
$A=2000(1+(0.08)(1))$
$A=2160$
We can conclude that after 1 year he will have $2160 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is $2164.86-2160=4.86$

3.
a. Since Bank A offers an account with a simple interest, we are going to use our simple interest formula. From the question we know that $P=3200$ , $t=3$ , and $r= \frac{3.5}{100} =0.035$ . Now we can replace those values into our formula to get:
$A=3200(1+(0.035)(3))$
$A=3536$
Now, to find the interest earned for Bank A we are going to subtract $P$ from $A$
$InterestEarned=3536-3200=336$
We can conclude that the interest earned for Bank A is $336
b. Since Bank B offers an account with a compound interest, we are going to use our compound interest formula. We know that $P=3200$ , $t=3$ , $r= \frac{3.4}{100} =0.034$ , and since the interest is compounded annually (1 time a year), $n=1$ . Now that we have all the values, lets replace them in our formula to get:
$A=3200(1+ \frac{0.034}{1} )^{(1)(3)}$
$A=3537.62$
Now, to find the interest earned for Bank A we are going to subtract $P$ from $A$ :
$InterestEarned=3537.62-3200=337.62$
We can conclude that the interest earned for Bank B is $337.62
c. Even tough the interest returns between the tow Banks are very similar, Bank B offers a slightly better interest over a period of time, which can make a big difference in the long run. If Tyler wants the earn more money, he definitively should deposit his money in Bank B.
d. The compound interest account from Bank B will yield more money than the simple account one from Bank A The difference between the tow amounts is $3537.62-3536=1.62$

6 0

4 years ago

PLEASE FIND THE VERTEX OF THIS PARABOLA

yarga [219]

Given equation of the parabola y= -5x^2 -10x -13.

We need to apply formla for x-coordinate of the vertex.

x=-b/2a.

For the given equation we have a=-5 and b=-10.

Plugging values of a and b in formula of x-coordinate of the vertex.

x= -(-10)/2(-5)

x= 10/(-10) = -1.

So, we got x-coordinate of the vertex = -1.

Now, we need to plug x=-1 in given equation to find the y-coordinate of the vertex.

Plugging x=-1 in y= -5x^2 -10x -13, equation we get

y=-5(-1)^2-10(-1)-13.

y= -5(1) +10 -13.

y=-5 +10-13.

y=-18+10.

y=-8.

So, we got y-coordinate of the vertex -8.

Therefore, vertex of the parabola is (-1,-8).

3 0

3 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to

dusya [7]

Answer:

bad expression

Step-by-step explanation:

13251+3032−8569=7714

5 0

3 years ago

Which equation represents a line which is perpendicular to the y axis? ( see pic )

pishuonlain [190]

Its either a or d but im not 100% positive

7 0

4 years ago