Okay well 7%, changes into 7/100=0.07 and there are 5 years and you have the beginning amount of 400. So 400×0.07=28. 28×5= 140. So add 140 to the be amount, 400+140=$540.
Answer is $540.
Answer:6
Step-by-step explanation:
We have three groups of cookies as follows:
24 oatmeal
36 vanilla bean
42 chocolate chip
If we breack down into factors we get
24 2 24 = 2³ * 3 36 2 36 = 2²*3³ 42 2 42 = 2*3*7
12 2 18 2 21 3
6 2 9 3 7 7
3 3 3 3 1
1 1
Fom where we can get that biggest common factor is 6
24 ÷ 6 = 4
36 ÷ 6 = 6
42 ÷ 6 = 7
Then Bakery will have 4 groups of oatmeal cookies, 6 of vanilla bean, and 7 chocolate chip
The answers would be -8 and 18
-8×18 = -144
-8+18 = 18-8 = 10
Answer:
Δ JKL is similar to Δ ABC ⇒ D
Step-by-step explanation:
Similar triangles have equal angles in measures
In ΔABC
∵ m∠A = 15°
∵ m∠B = 120
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠A + m∠B + m∠C = 180°
→ Substitute the measures of ∠A and ∠B
∵ 15 + 120 + m∠C = 180
→ Add the like terms in the left side
∴ 135 + m∠C = 180
→ Subtract 135 from both sides
∴ 135 - 135 + m∠C = 180 - 135
∴ m∠C = 45°
The similar Δ to ΔABC must have the same measures of angles
If triangles ABC and JKL are similar, then
m∠A must equal m∠J
m∠B must equal m∠K
m∠C must equal m∠L
∵ m∠J = 15°
∴ m∠A = m∠J
∵ m∠L = 45°
∴ m∠C = m∠L
∵ m∠J + m∠K + m∠L = 180°
→ Substitute the measures of ∠J and ∠L
∵ 15 + m∠K + 45 = 180
→ Add the like terms in the left side
∴ 60 + m∠K = 180
→ Subtract 60 from both sides
∴ 60 - 60 + m∠K = 180 - 60
∴ m∠K = 120°
∴ m∠B = m∠K
∴ Δ JKL is similar to Δ ABC
