Answer:
Part A - 
Part B - 
Step-by-step explanation:
Answer:
donna is 14.5 and emily is 17.5
Step-by-step explanation:
Given:
Total amount invested = $9,000
interest rates = 4% and 6%
Let x be the part of 9,000.
Note that annual return on each investment is the same.
0.04x = 0.06(9,000 - x)
0.04x = 540 - 0.06x
0.04x + 0.06x = 540
0.10x = 540
x = 540/0.10
x = 5,400
0.04x = 0.06(9,000 - x)
0.04(5,400) = 0.06(9,000 - 5,400)
216 = 0.06(3,600)
216 = 216
total interest for the year : 216 + 216 = 432
Interest = pricipal * interest rate * term
432 = 9,000 * interest rate * 1 yr
432/9,000 = interest rate
0.048 = interest rate
Interest rate would be 4.8% to get the same interest from the whole 9,000.
Answer:
15:49
Step-by-step explanation:
15 : 10+12+5+22
15 : 49
Can't be simplified further.
Answer:
Distance between Main gate M and manatee Spring S,
MS = 6.035 km ≅ 6 km (rounded off)
Step-by-step explanation:
Let the point at Train depot be T. Point at Main gate be M. Point at Bird sanctuary be B. Point at Elephant house be E. Point at manatee Springs be S.
Now, we have two triangles TMB and TSE.
From figure given that, ∠MTB = ∠STE
∠TMB = ∠TSE
∠TBM = ∠TES.
⇒ From AAA similarity, Triangles TMB and TSE are similar.
⇒ 
⇒ 
⇒ x = 2400 yds
⇒ Distance between Main gate M and manatee Spring S,
MS = MT + TS = x + 4200 = 2400 + 4200 = 6600 yds
⇒ MS = 6600 yds = 6600 × 0.0009144 km = 6.035 km ≅ 6 km