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choli [55]
3 years ago
10

Monica deposit 300 into a savings account that pays a simple interest rate of 4.3% call deposit 400 and into the savings account

that pays simple interest rate of 4.2% Monica says she warren more interest in one year because her interest rate is higher is she correct
Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer:

No

Step-by-step explanation:

MONICA:

Principal, p = 300

Simple interest, r = 4.3% = 0.043

CALL:

Principal, p = 400

Simple interest, r = 4.2% = 0.042

Amount, A received by each after one year :

Recall:

A = p(1 + rt) ; time, t = 1 year

MONICA:

A = 300(1 + 0.043(1))

A = 312.9

CALL = 400(1 + 0.042(1))

A = 416.8

Monica is incorrect, this is because amount earned is not only dependent on the interest rate but also the number of period and the initial or principal amount deposited.

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According to Moebs Services Inc., an individual checking account at U. S. community banks costs these banks between $175 and $20
Anika [276]

Answer:

0.1855

Step-by-step explanation:

Assuming normal distribution, Sampling mean = $190

Sampling standard deviation = \sigma /\sqrt{n} = 20 /\sqrt{100} = $2

a) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is less than $187 = P(X < 187)

= P(Z < (187 - 190)/2)

= P(Z < -1.5)

= 0.0668

b) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is more than $193.5

= 1 - P(X < 193.5)

= 1 - P(Z < (193.5 - 190)/2)

= 1 - P(Z < 1.75)

= 1- 0.9599

= 0.0401

c) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is between $191.70 to 194.5 = P(X < 194.5) - P(X <191.7)

= P(Z < (194.5 - 190)/2) - P(Z < (191.7-190)/2)

= P(Z < 2.25) - P(Z < 0.85)

= 0.9878 - 0.8023

= 0.1855

5 0
3 years ago
–20, - 12,5, 22, . . .<br> An=<br> A50=
marshall27 [118]

Answer:

an = 17n - 46

a50 = 804

Step-by-step explanation:

-29, -12, 5, 22, ...

Subtract each number from the next one.

-12 - (-29) = 17

5 - (-12) = 17

22 - 5 = 17

The common difference is 17. This is an arithmetic sequence which starts with -29, and in which each subsequent value is 17 more than the previous value.

a1 = -29

a2 = -29 + 17

a3 = -29 + 2(17)

a4 = -29 + 3(17)

Notice that for each term, you have -29 and something added to it. What you add to -29 is 17 multiplied by 1 less than the number of the term. For term 1, 1 less than 1 is 0. You add 0 * 17 to -29 and get -29. term 1 is -29. For term 2, 1 less than 2 is 1. You add 1 * 17 to -29 and get -12, etc.

For term n, 1 less than n is n - 1. Add (n - 1) * 17 to -29 to get term n.

an = -29 + 17(n - 1)

This formula can be simplified.

an = -29 + 17n - 17

an = -46 + 17n

an = 17n - 46

a50 = 17(50) - 46

a50 = 804

8 0
3 years ago
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Nonamiya [84]
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Arturiano [62]

Answer:

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