Answer:
-5 =x
Step-by-step explanation:
3^(x-1) = 9^(x+2)
Replace 9 with 3^2
3^(x-1) = 3^2^(x+2)
We know that a power to a power means the powers are multiplied
a^b^c = a^(b*c)
3^(x-1) = 3^(2x+2)
When the bases are the same, the powers have to be the same
x-1 = 2x+4
Subtract x from each side
x-x-1 =2x-x+4
-1 =x+4
Subtract 4 from each side
-1-4 =x+4-4
-1-4 = x
-5 =x
Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:
To calculate the total interest we need to calculate the interest of each individual account and sum them:
The total interest is the sum of the two expressions above:
The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.
Answer:
1/ 3
Step-by-step explanation:
If each of the cards is turned over, the probability of picking up a card of one type P(E) becomes equal to:
=> P(E) = number of cards of the required type/ total number of cards
● Total number of spades( ♤ ) = 3
{the queen, one ace and the nine are all spades}
● Total number of cards = 6
Probability of drawing a spade= 3/ 6
= 1/ 2
● Total number of "7" = 1
● Total number of cards = 6
Probability of drawing a 7
= 1/ 6
Now, what's asked is the difference in the probabilities of drawing a spade and a seven.
= 1/ 2 - 1/ 6
= 3/ 6 - 1/ 6
= 2/ 6
= 1/ 3
Hence, 1/ 3 of a greater chance of drawing a spade over a 7.
41
Expression : 3 x 12 months=36 +5 rabbits her already had =41
Answer:
55°
Step-by-step explanation:
x+x-20=90[Complementary angle]
or, 2x-20=90
or, 2x=90+20
or, 2x=110
or, x=110/2
x=55°
