Mathematics: If x represents 2.8% of 270 , then which of the following equation would not result in the correct value for x?

If x represents 2.8% of 270 , then which of the, №12310069, 23.03.2023 08:36

Mathematics

Mr. martin put $5000 into a trust fund on his daughter s 16th birthday. the trust fund pays 9% interest compounded semiannually. what will the trust fund be worth on her 21st birthday? how much interest did the investment earn? how much interest would have been earned if the trust fund was set up with only simple interest? we need to carefully read through the problem to pick out the information needed to plug into the compound interest formula: p - principal = $5000 apr - annual percentage rate = 9% = 0.09 n - # compounding periods a year, semi-annually

Step-by-step answer

P Answered by PhD

1

To solve this, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where

is the final amount after

years.

is the initial amount.

is the interest rate in decimal form.

is the number of times the interest is compounded per year.

is the time in years.

We know from our problem that Jesse's decides to invest his income tax refund of $2300, so P=2300

. We also know that the number of years is 3, so t=3

. Since the interest was compounded semi-annually, it was compounded 2 times per year; therefore, n=2

. Now, to convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{5.5}{100}$
r=0.055

Now that we have all the values we need, lest replace in our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2300(1+ \frac{0.055}{2})^{(2)(3)}$
A=2706.57

We can conclude that the value of the CD after 3 years of yielding an interest of 5.5% compounded semi-annually is 2706.57

Mathematics

Mr. martin put $5000 into a trust fund on his daughter s 16th birthday. the trust fund pays 9% interest compounded semiannually. what will the trust fund be worth on her 21st birthday? how much interest did the investment earn? how much interest would have been earned if the trust fund was set up with only simple interest? we need to carefully read through the problem to pick out the information needed to plug into the compound interest formula: p - principal = $5000 apr - annual percentage rate = 9% = 0.09 n - # compounding periods a year, semi-annually

Step-by-step answer

P Answered by PhD

1

To solve this, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where

is the final amount after

years.

is the initial amount.

is the interest rate in decimal form.

is the number of times the interest is compounded per year.

is the time in years.

We know from our problem that Jesse's decides to invest his income tax refund of $2300, so P=2300

. We also know that the number of years is 3, so t=3

. Since the interest was compounded semi-annually, it was compounded 2 times per year; therefore, n=2

. Now, to convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{5.5}{100}$
r=0.055

Now that we have all the values we need, lest replace in our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2300(1+ \frac{0.055}{2})^{(2)(3)}$
A=2706.57

We can conclude that the value of the CD after 3 years of yielding an interest of 5.5% compounded semi-annually is 2706.57

Mathematics

The table and the graph each show a different relationship between the same two variables, x and y: a table with two columns and 5 rows is shown. the column head for the left column is x, and the column head for the right column is y. the row entries in the table are 3,270 and 4,360 and 5,450 and 6,540. on the right of this table is a graph. the x-axis values are from 0 to 10 in increments of 2 for each grid line. the y-axis values on the graph are from 0 to 800 in increments of 160 for each grid line. a line passing through the ordered pairs 2,

Step-by-step answer

P Answered by Master

12

The answer is B. 110

If the function for the table is y=90x and the function for the graph is y=80x, then at x=11, the table would be at (11, 990) and the graph at (11, 880) meaning that the y value of the table would be 110 more than the y value of the graph.

Hope this helped!

Mathematics

The table and the graph each show a different relationship between the same two variables, x and y: a table with two columns and 5 rows is shown. the column head for the left column is x, and the column head for the right column is y. the row entries in the table are 3,270 and 4,360 and 5,450 and 6,540. on the right of this table is a graph. the x-axis values are from 0 to 10 in increments of 2 for each grid line. the y-axis values on the graph are from 0 to 800 in increments of 160 for each grid line. a line passing through the ordered pairs 2,

Step-by-step answer

P Answered by Specialist

12

The answer is B. 110

If the function for the table is y=90x and the function for the graph is y=80x, then at x=11, the table would be at (11, 990) and the graph at (11, 880) meaning that the y value of the table would be 110 more than the y value of the graph.

Hope this helped!

Mathematics

the table and the graph below each show a different relationship between the same two variables, x, and y: a table with two columns and 5 rows is shown. the column head for the left column is x, and the column head for the right column is y. the row entries in the table are 3,240 and 4,320 and 5,400 and 6,480. on the right of this table is a graph. the x-axis values are from 0 to 10 in increments of 2 for each grid line. the y-axis values on the graph are from 0 to 450 in increments of 90 for each grid line. a line passing through the ordered pairs

Step-by-step answer

P Answered by PhD

7

The correct answer is 385

Step-by-step explanation

The table and the graph are two different linear functions

from table

The difference between two y values in table with increment of 1 in value is 80.

$y = 80\times x$

From graph,

The difference between two values in graph is 90 for increments of two.

For increments of one the difference will be $\frac{90}{2}=45$ . So the function is,

y = 45x

When x = 11

The difference between the y values of two function is,

$80\times 11-45\times 11=880-495=385$

The answer is 385.

Mathematics

The table and the graph below each show a different relationship between the same two variables, x and y: a table with two columns and 5 rows is shown. the column head for the left column is x, and the column head for the right column is y. the row entries in the table are 3,240 and 4,320 and 5,400 and 6,480. on the right of this table is a graph. the x axis values are from 0 to 10 in increments of 2 for each grid line. the y axis values on the graph are from 0 to 450 in increments of 90 for each grid line. a line passing through the ordered pairs

Step-by-step answer

P Answered by PhD

5

The difference between value of y at x=11 is 385, the correct option is third.

Step-by-step explanation:

The equation of a line which passing through two points is given below,

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The two points from the table are (3,240) and (4,320), the equation is,

$y-240=\frac{320-240}{4-3}(x-3)$

y-240=80(x-3)

y=80x-240+240

y=80x

Put x=11

$y=80\times 11=880$

Therefore according to the table the value of y is 880 at x=11.

The two points from the table are (2,90) and (4,180), the equation is,

$y-90=\frac{180-90}{4-2}(x-2)$

y-90=45(x-2)

y=45x-90+90

y=45x

Put x=11,

$y=45\times 11=495$

Therefore according to the table the value of y is 495 at x=11.

The difference between the values of y at x=11 is,

D=880-495=385

Therefore third option is correct.

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

Step-by-step answer

P Answered by PhD