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4 years ago

Which equation is the correct translation of the following statement?

Mathematics

1 answer:

Verizon [17]4 years ago

7 0

That is the last option

x - 5.75 = 10

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Suzette deposited $800 into a bank account earning simple interest of 2.5% each year. After 5 years, how much interest had her a

Blababa [14]

Answer:

$\boxed {\boxed {\sf \$ 100.00}}$

Step-by-step explanation:

The formula for simple interest is

$I=prt$

where <em>p</em> is the principal, <em>r </em>is the rate, and <em>t</em> is the time.

The principal, or initial amount is $800 and the time is 5 years The interest rate is 2.5%, but we must convert to a decimal.

Divide by 100 or move the decimal place two spots to the left.

2.5/100=0.025 or 2.5 ⇒ 0.25 ⇒ 0.025

Substitute the known values into the formula.

$p= 800 \\r= 0.025 \\t= 5$

$I= (800)(0.025)(5)$

Multiply.

$I=20(5)\\I=100$

After 5 years, Suzette's account has earned $100.00

8 0

3 years ago

Ronnie wants to put 1/12 of a pound of bird seed in each of the bird cages. He has 2/3 of a pound of bird seed left to use. How

Maslowich

Answer:

Step-by-step explanation:

2/3 / 1/12

flip sign and 2nd number

2/3 x 12/1

3 0

3 years ago

Find the area of the surface correct to four decimal places by expressing the area in terms of a single integral and using your

love history [14]

If we substitute $x=r\cos\theta$ and $y=r\sin\theta$ , we get $r^2=x^2+y^2$ , so that

$z=\cos(x^2+y^2)=\cos(r^2)$

which is independent of $\theta$ , which in turn means the surface can be treated like a surface of revolution.

Consider the function $f(t)=\cos(t^2)$ defined over $0\le t\le1$ . Revolve the curve $C$ described by $f(t)$ about the line $t=0$ . The area of the surface obtained in this way is then

$\displaystyle2\pi\int_C\mathrm dS=2\pi\int_0^1\sqrt{1+f'(t)^2}\,\mathrm dt$

$=\displaystyle2\pi\int_0^1\sqrt{1+(-2t\sin(t^2))^2}\,\mathrm dt$

$=\displaystyle2\pi\int_0^1\sqrt{1+4t^2\sin^2(t^2)}\,\mathrm dt\approx7.4144$

4 0

3 years ago

Evaluate each expression if A=Z, B=5, X=4, and N=10. what is the answer for [a+8 (b-2)]^2÷4

nalin [4]

Hi!

<h3>Put in the values. </h3>

[z+8(5-2)]^2/4

<h3>Now use PEMDAS to solve. </h3>

Parentheses - Subtraction

[z+8*3]^2/4

Parentheses - Multiplication

[z+24]^2/4

Exponents

z+576/4

Division

<h2>When you evaluate [a+8 (b-2)]^2÷4, you get z + 144</h2>

Hope this helps! :)

-Peredhel

8 0

4 years ago

A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times. What is the experimenta

mihalych1998 [28]

The experimental probability is

(number of times it stopped over Sect. 2) / (total number of times you tried it)

Number of times it stopped in Section-2: 36

Total number of times you tried it: (20 + 36 + 24) = 80

Experimental probability of Section-2 = 36/80 = 9/20 = 45%

8 0

4 years ago