Exponents
4^2 * 4^5
47
Write the following value in standard form:
2.7823 x 104
(x+1)/3 = (x+2)/5
5(x+1) = 3(x+2)
5x+5 = 3x+6
5x-3x = 6-5
2x = 1
x = 1/2
Rachel has been given $1000 to put into a savings account. She earns 2% simple interest every month. How much interest will Rachel earn in two years.
$480
7^5/(7^3)
72
Write the following value in scientific notation:
0.00476
4.76 x 10-3
(x+3)/3 = (x-1)/5
5(x+3) = 3(x-1)
5x+15 = 3x-3
5x-3x = -3-15
2x = -18
x = -9
Daniel has $1200 in the bank. He is earning 3.5% compound interest each month. How much money will he have in the bank in one year?
$1813.28
(2x^3)^4
2x^12
Write the following value in scientific notation:
584,600,000
5.846 x 108
x/3 + x/4 +1 = x/2
12(x/3 + x/4 + 1 = x/2)
(12x)/3 + (12x)/4 + 12 = (12x)/2
4x + 3x + 12 = 6x
7x + 12 = 6x
7x - 6x = -12
x = -12
John needs to borrow $250 . Scrooge Savings will charge him 6% compound interest each week. How much will John owe after 12 weeks.
$503.05
(4x^3)(8x^5)
32x^8
3.247 x 10-8
y = 1/3x - 4
y = 1/2x + 3
x = -42
y = -18
If Melanie invests $2500 at a 3% interest rate compounded annually, how much will she have at the end of four years?
$2813.77