B. <span>sometimes
is the right answer
</span> <span>Any two angles which add up to 90 degrees are complementary.</span>
Answer:
100m^2
Step-by-step explanation:
area of trapezoid formula: 
b=base
so
base #1= 8
base #2= 12
h(height)= 10
(8+12)=20(sum of bases)
20/2=10(sum of bases over 2)
10*10=100(height * whats remaining of bases)
100m^2
hope this helps
Answer:
0.399
Step-by-step explanation:
The key to doing this problem properly lies in knowing and following order of operations rules.
Here we must perform mult. and div. before addition and subtr., but even before that we must do all work enclosed in parentheses first.
(22.8 × 10–3) is evaluated by doing the mult. first, and then subtracting 3:
(228-3) = 225
and
(5.7 × 10–6) is evaluated by doing the mult. first, then subtracting 6:
(570-6) = 564.
Finally, we divide 225 by 564, obtaining 0.399 (after rounding off to three decimal places).
Answers:
- <u>24000 dollars</u> invested at 4%
- <u>18000 dollars</u> was invested at 7%
======================================================
Work Shown:
x = amount invested at 4%
If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%
She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account
This means we have
0.04x+0.07(42000-x)
0.04x+0.07*42000-0.07x
0.04x+2940-0.07x
-0.03x+2940
This represents the total amount of money earned after 1 year.
We're told the amount earned in interest is $2220, so we can say,
-0.03x+2940 = 2220
-0.03x = 2220-2940
-0.03x = -720
x = -720/(-0.03)
x = 24000 dollars is the amount invested at 4%
42000-x = 42000-24000 = 18000 dollars was invested at 7%
----------------------
As a check, we can see that
18000+24000 = 42000
and also
0.04x = 0.04*24000 = 960 earned from the first account
0.07*18000 = 1260 earned from the second account
1260+960 = 2220 is the total interest earned from both accounts combined
This confirms our answers.
6 years
A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:
Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8
Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:
To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x
x = 6 years to the nearest year
