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aivan3 [116]
3 years ago
15

Mike deposited $6500 into two saving accounts bearing simple interest. One of the accounts has an interest rate of 3% while the

other rate is 6%. If the total interest earned after one year is $225, find the amount deposited into each of the accounts.
Mathematics
1 answer:
ololo11 [35]3 years ago
7 0
0.03x+0.06 (6500-x)=225
Solve for x
0.03x+390-0.06x=225
0.03x-0.06x=225-390
-0.03x=-165
X=165÷0.03
X=5500 invested at 3%

6500-5500=1000 invested at 6%
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Delicious77 [7]
it would obviously take 15 days if this answers your question
3 0
2 years ago
Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
Joe travels at a constant speed of 80 miles per hour for ten hours. How many miles will he travel in ten
ratelena [41]

Answer:

1287.48 km

Step-by-step explanation:

80 miles = 128.748 km

  • Distance = Speed x Time

Putting in 'x' for distance

x = 80*10  

x = 800 miles

or

x = 1287.48 km

3 0
3 years ago
A die is rolled 30 times. How many times can you expect it to land on a number less than 5?
erma4kov [3.2K]

Answer:

5/6 is your answer

Step-by-step explanation:

no. of favourable observation/ total no of observation

6 0
3 years ago
Can someone help please?
Zina [86]
The correct answer is b!
6 0
2 years ago
Read 2 more answers
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