'is' in mathematics means equal
'of' in mathematics means multiplication
percent means over 100
84 = 74% * x
84 = 74/100 * x
84 = 37/50 * x
Multiply 50/37 on both sides, so we can isolate 'x'
85 * 50/37 = x
x = 4250/37
x ≈ 114.864865
84 is 74 percent of <span>114.86</span>.
Remember that "of" means to multiply.
(1/12) of 180 coins are dimes. The number of dimes will be
(1/12)*180 = 180/12 = 15
Alright, so you have the basic formula- good.
You have the A value (400), the interest rate r (7.5% -> .075 in decimal), and the final P value (8500). So, we only need to solve for t.
8500 = (400)(1+.075)^t
/400 /400
21.25 = 1.075^t
logarithms are the inverse of exponents, basically, if you have an example like
y = b^x, then a logarithm inverts it, logy(baseb)=x
Makes sense if you consider a power of ten.
1000 = 10^3
if you put logbase10(1000), you'll get 3.
Anyways, though, to solve the problem make a log with a base of 1.075 in your calculator
log21.25(base 1.075) = t
also, because of rules of change of base (might want to look this up to clarify), you can write this as log(21.25)/log(1.075) = t
Thus, t is 42.26118551.
Rounded to hundredths, t=42.26
Answer:
Step-by-step explanation:
From the picture attached,
Statements Reasons
1). In ΔABC, DE intersects AB and AC 1). Given
2). DE║BC 2). Given
3). ∠ADE ≅ ABC 3). Corresponding angles postulate
4). ∠AED ≅ ∠ACB 4). Corresponding angles postulate
5). ΔADE ~ ΔABC 5). AA similarity postulate
6). 
6). Definition of two similar triangles
Hence proved.
If you would like to know Mike's tax, you can calculate this using the following steps:
a market value ... 310000
the property ... 40% of the market value = 40% * 310000 = 40/100 * 310000 = 124000
the tax rate ... 145.10 per 1000 of assessed valuation
145.10 ... 1000 of assessed valuation
x ... 124000 of assessed valuation
____________________________
145.10 * 124000 = 1000 * x /1000
x = 145.10 * 124000 / 1000
x = 17992.4 (Mike's tax)
The correct result would be: Mike's tax is 17992.4.
