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2 years ago

For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

Mathematics

1 answer:

kykrilka [37]2 years ago

7 0

Answer:

If the 'm' u r trying to say is slope of line on the graph then it will be parallel to x axis

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As part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each

Finger [1]

Answer:

Option d)$401,447.24

Step-by-step explanation:

We are given that as part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each year at rate of 6% compounded annually for 20 years

So first of all we need to find the future value of annuity using the formula as shown below :

$FV= p\frac{[(1+\frac{r}{n})^{(n)(t)}-1)]}{\frac{r}{n}}$

Here, FV = future value of annuity

p = $35000 (annual deposit)

r is rate = 6% = 0.06

n = number of compounding = 1 ( as we are compounding annually )

t = number of years = 20

So plugging in all the values in the formula , we get

$FV= 35000\frac{[(1+\frac{0.06}{1})^{(1)(20)}-1)]}{\frac{0.06}{1}}$

Simplifying further , we get

$FV= 35000\frac{[(1+0.06)^{20}-1)]}{0.06}$

Plugging in the given values in the calculator , we get

FV = $ 1287495.69

So far we have got the Total amount for annuity , from here we need to use the concept of compound interest and find the principal amount to be deposited to get the required total amount of $ 1287495.69

The formula for compound interest when compounded annually is given by:

$A=P(1+r)^t$

Here A = 1287495.69 (Total amount required)

P = ( principal amount to be deposited to meet the required total amount )

r = 6% = 0.06

t = 20

So plugging in all the known values in the formula , we get

$1287495.69= P(1+0.06)^{20}$

simplifying further, we get

$\frac{1287495.69}{(1.06)^{20}}= P$

so required amount to be deposited is given by :

P = $401,447.24

Hope it was helpful !:)

6 0

3 years ago

You are interested in determining which of two brands of light bulbs, brand A and brand B, lasts longer under differing conditio

bulgar [2K]

Answer:

The type of lamp is a confounding variable.

Step-by-step explanation:

to test the average life of the bulbs the same lamps should be used

7 0

3 years ago

Read 2 more answers

Can someone please help me❓

Sedbober [7]

Divide each square into 4 prices and you'll get it

4 0

3 years ago

what does y =mx +b mean and how do you use it to solve problems? whats the different between y=mx+b and y=mx + c

algol13

y=mx+c is the equation for a line graph, m is the gradient and c is where it goes through the y axis, the only difference between y=mx+c and y=mx+b is where u live as in different countries learn it different ways but it is still the same thing

4 0

4 years ago

A survey asked people to name their favorite season. The results of the survey showed that 34% said spring and 15% said fall. Wh

max2010maxim [7]

Answer:

D. 29% and 22%

Step-by-step explanation:

The known percentages are 34% and 15%. Add these two together to get 49%. All four choices should add up to 100%. So subtract to find what remains:

100% - 49%

= 51%

We don't actually have enough information to determine the percents for summer and winter. BUT the only answer that adds up to 51% is answer D. 29% and 22%.

8 0

2 years ago