Answer:
12 fish and puppies
Step-by-step explanation:
There is 1 fish for every 3 puppies. So that is 4 animals in 1 "set".
We have
"sets", which means 4 sets.
4 fish per "set" and 3 "sets" means there are
4
×
3 or 12 fish and puppies.
(a)
So here's the information we know:
Tanya bought 3 items
Tony bought 4 items
Tony's items were all 2.50 less than Tanya's
So, our equation should look like this:
3x = 4(x - 2.25)
(b)
3x = 4(x - 2.25)
3x = 4x - 9
-x = -9
x = 9
Tanya spent = 9 (x)
Tony spent = 6.75 (x - 2.25)
(c)
3(9) = 4((9) - 2.25)
27 = 36 - 9
27 = 27
or
Tanya: 3x = 3 (9) = 27
Tony: 4( x - 2.25) = 4(9-2.25) = 4(6.75) = 27
(d)
We can conclude that Tanya bought 3 items with a cost of $9 each, and Tony bought 4 items with a cost of $6.75 each. Both Tanya and Tony spent a total of $27.
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Step-by-step explanation:
The given is,
Future value, F = $15,000
Interest, i = 5.9%
( compounded continuously )
Period, t = 12 years
Step:1
Formula to calculate the present with compounded continuously,
...............(1)
Substitute the values in equation (1) to find the P value,
( ∵
)

( ∵
)
We change the P (Present value) into the left side,


≅ 7389.43
P = $ 7389.43
Result:
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Answer:
C. 70°
Step-by-step explanation:
The inscribed angle marked 15° intercepts an arc that is double that measure, so the intercepted arc on the right is 2×15° = 30°.
The external angle marked 20° is half the difference of the intercepted arcs, so is ...
20° = (1/2)(x - 30°)
40° = x - 30° . . . . . . multiply by 2
70° = x . . . . . . . . . . . add 30°
The value of x is 70°.