Let's have a variable for each rate
x = account 1 (2.5% rate of interest)
y = account 2 (8% rate of interest)
The formulas we need are:
0.025x + 0.08y = 830 (amount of interest paid)
x + y = 20 000 (combined amount invested)
To solve we will use substitution (isolate for one variable and plugging into the other formula):
x + y = 20 000
x = 20 000-y
0.025x + 0.08y = 830
0.025(20 000-y) + 0.08y = 830
500-0.025y+0.08y=830
500+0.055y=830
0.055y=330
y=6000
Now that we know y (the 2nd account) = $6000 we need to find x. We do this by using the previous formula.
x = 20 000-y
x=20 000 - 6000
x=14000
She invested $14 000 at a 2.5% interest rate and $6 000 at a 8% interest rate.
*Notes:
the percentages were converted into decimal form
you check your answer by plugging the numbers back into the 2 formulas we made
Answer
The answer is 8040
Step-by-step explanation:
It might be wrong, but here take it this way with Pemdas.
P= Parenthesis (30*2) and what's in there is multiplication correct? So, 30 times 2 is 60. Then, E is exponents. There's none there. So we skip to multiplication. 16 times 12 is what? 192. Next is division. So 192 divided by 2. That's 96. So, Then it'd be 38+96(60.) 38+96= 134. 134(60) That being said. That would equal = 8040 using Multiplication, 194 using addition. 74 using subtraction. And 2.2_ using division.
Answer:
.
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
The 2 chords are equal in length, both 36
Equal chords are equidistant from the centre, then
x = 16
