All categories

3 years ago

I need some help…

Mathematics

1 answer:

ivann1987 [24]3 years ago

3 0

The total amount after 5 years would be $2,650

You might be interested in

If log10(x^{2}y^{3})=7 and log10 (x/y)=1 , then x=__ and y= __

yuradex [85]

Answer:

$x=100$

$y=10$

Step-by-step explanation:

we are given

$log_1_0(\frac{x}{y})=1$

Firstly, we will get rid of log

so, we will take exponent over 10 on both sides

$10^{log_1_0(\frac{x}{y})}=10^{1}$

now, we can simplify it

$\frac{x}{y}=10$

now, we can solve for x

$x=10y$

we are given

$log_1_0(x^2y^3)=7$

Firstly, we will get rid of log

so, we will take exponent of 10 on both sides

$10^{log_1_0(x^2y^3)}=10^7$

$x^2y^3=10^7$

now, we can plug back x from first equation

$(10y)^2y^3=10^7$

now, we can solve for y

$100y^5=10000000$

$\frac{100y^5}{100}=\frac{10000000}{100}$

$y^5=100000$

now, we can take radical 5

$y=\sqrt[5]{100000}$

$y=10$

now, we can find x

$x=10\times 10$

$x=100$

So, solution is

$x=100$

$y=10$

4 0

4 years ago

2r+c+0.5d+8 how many terms does the expression have

Lemur [1.5K]

A term in a math expression is single number or variable and are separated by a + or - or × or ÷

This expression has 4 terms

.5d

and 8

8 0

3 years ago

What is the image of (-3,-7)(−3,−7) after a reflection over the x-axis?

kodGreya [7K]

Answer is ( -3, 7)
Rule for reflection over x axis is
x , y to x, -y
Since the y value is already negative it will change to positive

See attachment

5 0

2 years ago

Cot^2 135-sin210+5cos^2 225

TiliK225 [7]

$\cot135^o=\cot(90^o+45^o)=-\tg45^o=-1\\\\\sin210^o=\sin(180^o+30^o)=-\sin30^o=-\dfrac{1}{2}\\\\\cos225^o=\cos(180^o+45^o)=-\cos45^o=-\dfrac{\sqrt2}{2}$

$\cot^2135^o-\sin210^o+5\cos^2225^o=(-1)^2-\left(-\dfrac{1}{2}\right)+5\cdot\left(-\dfrac{\sqrt2}{2}\right)^2\\\\=1+\dfrac{1}{2}+5\cdot\dfrac{1}{2}=1\dfrac{1}{2}+2\dfrac{1}{2}=4$

Answer: 4.

3 0

4 years ago

How do you divide 8 by 10

balu736 [363]

Dividing by 10 is simple; just move the decimal place one digit to the left. So, 8.0 would then be 0.8. However, it is imperative you show your working out:
8/10=0.8

8 0

4 years ago

Read 2 more answers