Answer:
.
Step-by-step explanation:
To multiply exponents, you will need to begin by multiplying the coefficients as normal. In this instance:
3 · 2 = 6.
When multiplying exponents, however, remember that you must ADD the exponents. Therefore:
3a² · 2a³ =
The product of 3a² and 2a³ is found by multiplying the coefficients (the numbers in front of 'a') and adding the exponents for 'a'. The result is 6a⁵.
To find the product of 3a² and 2a³, first you multiply the numerical coefficients and then you add the exponents of 'a'. The numerical coefficient for the first expression is 3 and for the second expression it's 2, multiplying these together we get 6. For the powers of 'a', since both 'a' terms in the two expressions are raised to powers (2 and 3), you add these powers together when multiplying, thus a² * a³ = a⁵. So the final answer is 6a⁵.
#SPJ6
The annual interest rate of cd was 1.75.
Simple interest is the interest calculated on the principal portion of a loan or the original contribution to a saving amount.
S.I = (P × R × T)/100
Where,
S.I is the simple interest
P is the initial principal balance
R is the interest rate
T is the time in years
According to the given question
We have
Simple Interest, SI = $980
Initial principal balance, P = $7000
Time, T = 8 years
Therefore, the annual interest rate for cd is given by
⇒
⇒
Hence, the annual interest rate of cd was 1.75.
Learn more about simple interest here:
#SPJ2
0
0.75
Step-by-step explanation:
Arithmetic progression have a first term and common difference.
Here first term, a = -3
Common difference, d = -2.25 - (-3) = -2.25 + 3 = 0.75
The n th term of an arithmetic progression is given by a + (n-1) d
Here we need to find fifth term, that is n = 5
Fifth term = a + (n-1) d = -3 + (5-1) x 0.75
Fifth term = a + (n-1) d = -3 + 4 x 0.75
Fifth term = a + (n-1) d = -3 + 3 = 0
So next term for the given arithmetic sequence = 0
Option B is the correct answer.
Answer:
Shortest side = 39 cm.
Median side = 65 cm.
Longest side = 91 cm.
Step-by-step explanation:
The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.
First, find how much parts there are as a whole, by combining the ratios:
3 + 5 + 7 = 15 parts.
Divide the total of parts from the total measurement:
195/15 = 13
Each part has the measurement of 13 cm.
1 part = 13 cm.
Use the following ratio to solve for each of the sides:
Shortest side: 3
3 x 13 = 39
Shortest side = 39 cm.
Median side: 5
5 x 13 = 65
Median side = 65 cm.
Longest side: 7
7 x 13 = 91
Longest side = 91 cm.
Check. Combine all side measurements together. They should equal 195:
39 + 65 + 91 = 195
(39 + 65) + 91 = 195
(104) + 91 = 195
195 = 195 (True).
~