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defon
2 years ago
11

Manuela wants to have $26,000 in 18 months. About how much should she put into an 18 month CD that earns simple interest of 5.6%

a year calculated semiannually in order to reach her goal.
Mathematics
2 answers:
pentagon [3]2 years ago
5 0
Since it is simple interest, in 18 months it will earn 1.5*5.6 = 8.4%,

x + 0.084x = 26000

x = 2600/1.084 = $23,985.24
Leto [7]2 years ago
5 0

Answer:

Manuela should put $23,985.24 into an 18 month CD.

Step-by-step explanation:

Manuela wants to have $26,000 in 18 months CD that earns simple interest of 5.6% a year calculated semiannually.

Since it is simple interest so in 18 months (1.5 years)  it will earn = 5.6 × 1.5 = 8.4%.

Formula for Simple interest

A = P( 1 + rt)

A = amount ( 26,000 )

P = Principal  ( we have to find out )

r = Rate of interest in decimal 8.4% ( 0.084 )

t = time ( 1 )

Let the principal amount be x

Now we put the values in formula to find the value of x.

26,000 = x ( 1 + 0.084 × 1 )

26,000 = x ( 1.084 )

x = \frac{26000}{1.084}

x = 23,985.23985 rounded to 23,985.24

Manuela should put $23,985.24 into an 18 month CD.

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leonid [27]

Answer:

Milk consumed in 30 days = (30 days)(3.25 litres/day) = 97.5 litres

Step-by-step explanation:

You are given a rate at which the milk is consumed (3.25 litres per 1 day). This is just multiplied by the 30 days to get your answer.

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2 years ago
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Draw a graph of the rose curve. r = -3 sin 5θ, 0 ≤ θ ≤ 2π
kaheart [24]
Tada, Its on the Image. Hoped I helped :)

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In 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?​
JulsSmile [24]

Answer:

N = 6 so that number becomes divisible by 3, 6 and 9.

Step-by-step explanation:

In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that n = 154N38, then its sum of digits is:

x = 1 + 5+4+N+3+8

x = 21+N (Eq. 1)

We have to determine which digits corresponds to multiples of three, there are four digits:

N = 0

x = 21+0

x = 21 (3\times 7 = 21)

N = 3

x = 21+3

x = 24 (3\times 8 = 24)

N = 6

x = 21+6

x = 27 (3\times 9 = 27)

N = 9

x = 21+9

x = 30 (3\times 10 = 30)

We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:

154038 = 2\times 3\times 25673

154338 =2\times 3\times 29 \times 887

154638 = 2\times 3\times 3\times 11\times 11\times 71

154938 = 2\times 3\times 7\times 7\times 17\times 31

It is quite evident that N = 6 so that number becomes divisible by 3, 6 and 9.

6 0
2 years ago
alon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of wee
soldier1979 [14.2K]
700 - 175 is equal to 525 when you divide that by 35 you get 15 which is your answer.
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Suppose flaws (cracks, chips, specks, etc.) occur on the surface of glass with density of 3 per square meter. What is the probab
DiKsa [7]

Answer:

0.047

Step-by-step explanation:

Given that poisson distribution with mean m, for 0.5 square meter =1.5

Then the formula for finding the probability =

P[k] = (e^-m * m^k) k!

Hence we have

P[4] =[ (e^-1.5) * (1.5^4)] ÷ 4 * 3 * 2 * 1

= (0.2231301601 * 5.0625) ÷ 24

=( 1.12944375) ÷24

= 0.04706

≈ 0.047

Hence, the final answer is 0.047

8 0
2 years ago
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