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GaryK [48]
3 years ago
12

Ruth Brown wants to borrow $2,600 for 90 days to pay her real 'estate tax. State Savings and Loan charges 7.25% ordinary interes

t while Security Bank charges 7.5% exact interest. A. What is the maturity value of each loan? B. Where should they borrow the money?
Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:

Step-by-step explanation:

Ordinary interest rate = principal × rates × ( time / 360)

exact interest rate = principal × rates × ( time / 365)

for states saving and loan of rate 7.25 %

ordinary interest rate = $ 2600 × 0.0725 × ( 90 / 360) = $ 47.125

total amount due after 90 days = $ 2647.125

for Security Bank of 7.5%

exact interest = $2600 × 0.075 × ( 90 / 365) = $ 48.75

amount due after 90 days = $ 2600 + $ 48.75 = $ 2648.75

b) considering the amount to be paid at maturity it is better to borrow state savings and Loan although the difference is not really much.

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How to solve 4x+7=15
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<span>4x+7=15

First step is to subtract 7 from both sides to get rid of it.
4x + 7 - 7 = 15 - 7
4x = 8

Now all you have to do is divide both sides by 4.
4x/4 = 8/4
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The answer is x = 2.</span>
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3 years ago
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Answer:

Step-by-step explanation:

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2 years ago
Part A: Find the GCF of 56 and 96. It is 8, already did this
enot [183]

Question: Part A: Find the GCF of 56 and 96. It is 8, already did this

Part B: Using the GCF you found in Part A, rewrite 56 + 96 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work.

Answer & explanation: Quick-Start Guide. When you enter an expression into the calculator, the calculator will simplify the expression by expanding multiplication and combining like terms. This website will help you out, I think! https://wpblog.wyzant.com lessons Expression Factoring Calculator – Wyzant Lessons

3 0
2 years ago
Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)
Dima020 [189]

Split C into two component segments, C_1 and C_2, parameterized by

\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)

\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)

respectively, with 0\le t\le1, where \mathbf r_i(t)=(x(t),y(t)).

We have

\mathrm d\mathbf r_1=(6,1)\,\mathrm dt

\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt

where \mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt

so the line integral becomes

\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)

=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt

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6 0
3 years ago
the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms​
Travka [436]

Answer:

S_5=\dfrac{170}{9}

Step-by-step explanation:

Given that,

The sum of first n term of a sequence isS_n=20-\dfrac{10}{2n-1}

We need to find the sum of the first 5 terms.

Put n = 5,

S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}

So, the sum of first 5 terms is equal to \dfrac{170}{9}.

6 0
2 years ago
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