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2 years ago

5

if you invest 1500 today in a bank that gives you 5% annual interest eats, which of these items can you buy in two years

1 answer:

Minchanka [31]2 years ago

5 0

1500 dived by 5% should give u ur answer

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a dental company has rolls of floss that are 1872 in long they want to put the distance in yards on their labels what is the dis

4vir4ik [10]

The answer is 52 yards

3 0

3 years ago

What is the slope of a line that is perpendicular to 6x + 3y = –9?

k0ka [10]

6x + 3y = -9
3y = -6x - 9
y = -2x - 4.5

slope (m1) of this line is -2

slope of the perpendicular line,
m2 = - (1/m1)
m2 = - (1 / -2)
m2 = 1/2

4 0

2 years ago

Read 2 more answers

Solve the following differential equation: y" + y' = 8x^2

PtichkaEL [24]

Answer:

$y=y_p+y_h = \frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$

Step-by-step explanation:

Let's find a particular solution. We need a function of the form $y= ax^3+bx^2+cx+d$ such that

$y'= 3ax^2+2bx+c$ and

$y''= 6ax+2b$

$y'+y''= 3ax^2+2bx+c+6ax+2b = 3ax^2+x(2b+6a)+(c+2b) = 8x^2$

then, 3a= 8, 2b+6a =0 and c+2b = 0. With the first equation we obtain

a = 8/3 and replacing in the second equation 2b+6(8/3) = 2b + 16 = 0. Then, b = -8. Finally, c = -2(-8) = 16.

So, our particular solution is $y_p= \frac{8}{3}x^3-8x^2+16x$ .

Now, let's find the solution $y_p$ of the homogeneus equation $y''+y'=0$ with the method of constants coefficients. Let $y=e^{\lambda x}$

$y'=\lambda e^{\lambda x}$

$y''=\lambda^2e^{\lambda x}$

then $\lambda e^{\lambda x}+\lambda^2 e^{\lambda x} = 0$

$e^{\lambda x}(\lambda +\lambda^2)= 0$

$(\lambda +\lambda^2)= 0$

$\lambda (1+\lambda)= 0$

$\lambda =0$ and $\lambda)= -1$ .

So, $y_h = C_1 + C_2e^{-x}$ and the solution is

$y=y_p+y_h =\frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$ .

5 0

2 years ago

Which two values are located at the same point on a number line? 1/2 and 2 , 2/2 2 , 2/1 2 , 2/1 and 1

grandymaker [24]

Answer: $\frac{2}{2},1\ \text{and}\ \frac{2}{2},1$

Step-by-step explanation:

$\Rightarrow \dfrac{2}{2}\ \text{is equivalent to 1}$

$\text{So, }\ \dfrac{2}{2},2\ \text{is equivalent to 1,2}$

$\text{Similarly, }\ \dfrac{2}{1},1\ \text{represents 2,1 or 1,2}$

$\text{So,}\ \frac{2}{2},1\ \text{and}\ \frac{2}{2},1\ \text{are represents same on number line.}$

8 0

2 years ago

A builder needs to cover 10 square yards of floor with tile. red tile costs $60 per square yard, and white tole costs $40 per sq

dsp73

Answer:40 square yards

Step-by-step explanation:

Given

Floor area A=10 square yards

Red tile costs $\$ 60$ per square yards

White tile costs $\$40$ per square yards

Total money spent= $\$480$ on tiles

Suppose red tiles cover an area of $x$ square yards

So, we can write

$60\times x+40\times (10-x)=480\\60x+400-40x=480\\20x=80\\x=40\ \text{square yards}$

Red tiles cover an area of 40 square yards

6 0

2 years ago