Answer:
You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?
Step-by-step explanation:
let x=amt invested at 3% rate of interest.
22000-x=amt invested at 5% rate of interest.
.03x+.05(22000-x)=980
.03x+1100-.05x=980
.02x=120
x=6000
22000-x=16000
amt invested at 3% rate of interest=$6,000
amt invested at 5% rate of interest=$16,000
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Answer:
Sharon spent a total of 49 minutes yesterday reading the book
Step-by-step explanation:
Step 1: Calculate the rate at which she reads
The total number of pages she reads at any given time interval can be expressed as;
T=P×m
where;
T=Total number of pages she reads
P=the rate at which she reads in number of pages per minute
m=total number of minutes she takes reading a book
In our case;
T=10 pages
P=p
m=35 minutes
replacing;
10=p×35
p=10/35
p=(10/35)
The rate at which she reads=(10/35) pages per minute
Step 2: Calculate the time she spent reading the book yesterday
Yesterdays variables are as follows;
T=14 pages
p=(10/35) pages per minute
m=unknown
replacing;
14=(10/35)×m
m=14×(35/10)
m=49
Sharon spent a total of 49 minutes yesterday reading the book
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
So, we first add the 20 and 72 together and you will get 92.
What I like to do next is usually 92/100x8.5. The tax would be then 7.82
92 + 7.82 = 99.82 < 100
The answer is yes.
7 1/12 - 2 3/4
First we have to change mixed numbers to improper fractions
7 1/12 = 7 x 12 + 1 = 85 85/12
2 3/4 = 2 x 4 + 3 = 11 11/4
85/12 - 11/4
Now we need to find the LCD (least common denominator) for 4 and 12
4, 8, 12
12
12 is our LCD, so it becomes our new denominator
85/12 would stay the same because the denominator wasn't changed but for 11/4 our new denominator is 12, so our fraction will change.
11/4 = 33/12
4 goes into 12, 3 times. What you do to the bottom, you do to the top.
3 x 11 = 33
3 x 4 = 12
So, our new fraction is 33/12. Now we subtract
85/12 - 33/12 = 52/12
Now we convert back to a mixed number
52 ÷ 12 = 4 4/12 reduce
4 1/3
Hope this helps.
