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3 years ago

Wyatt mows lawns to earn money. He charges by the area

Mathematics

1 answer:

oee [108]3 years ago

4 0

7,000 ft
area of triangle formula=1/2*base*height

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James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?

tester [92]

Answer:

It takes 1 year.

Step-by-step explanation:

You have to apply simple interest formula, I = (P×R×T)/100 where I represent interest amount, P is principle, R is interest rate and T is number of years :

$I = \frac{PRT}{100}$

$200 = \frac{4000 \times 5 \times T}{100}$

$20000 = 20000T$

$T = 1$

3 0

3 years ago

Read 2 more answers

Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = e^5x and z = e^2x. Th

xenn [34]

Answer:

The solutions are linearly independent because the Wronskian is not equal to 0 for all x.

The value of the Wronskian is $\bold{W=-3e^{7x}}$

Step-by-step explanation:

We can calculate the Wronskian using the fundamental solutions that we are provided and their corresponding the derivatives, since the Wroskian is defined as the following determinant.

$W = \left|\begin{array}{cc}y&z\\y'&z'\end{array}\right|$

Thus replacing the functions of the exercise we get:

$W = \left|\begin{array}{cc}e^{5x}&e^{2x}\\5e^{5x}&2e^{2x}\end{array}\right|$

Working with the determinant we get

$W = 2e^{7x}-5e^{7x}\\W=-3e^{7x}$

Thus we have found that the Wronskian is not 0, so the solutions are linearly independent.

3 0

3 years ago

Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a

Finger [1]

It is 2.56 because per pound equals the amount

7 0

2 years ago

Sandy bought 3/4 yard of ribbonand 2/3 yard of white ribbon how much ribbon did she but altogether

Neko [114]

To answer this you need to find the LCD (least common denominator) 2/3times4=8/12 and 3/4times3=9/12 and 9+8=17 then 17-12=5 so she bought 1 5/12 yards of ribbon

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3 years ago

A student's course grade is based on one midterm that counts as 20% of his final grade, one class project that counts as 5%

Ludmilka [50]

Answer:

Step-by-step explanation:

The weighted average of the student's scores is ...

0.20×63 +0.05×97 +0.35×85 +0.40×77 = 78

The student's overall final score is 78.

The letter grade earned is between 70 and 80, so is a C.

4 0

3 years ago