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xenn [34]
3 years ago
14

David borrowed $30,000 to start a business. Four years later he repaid $1260 in interest. What was the annual rate? Round to two

decimal places.
Mathematics
1 answer:
ollegr [7]3 years ago
5 0
Annual rate = 1.05%

Simple interest formula is I = Prt * 100
Where P is principle, I is interest, r is rate and t is time.

Transpose to make r the subject

Prt * 100 = I
r = I/ Pt * 100

Substitute values into the equation.
Let I = $1260, P = $30,000 and t = 4 years

r = $1260/ $30,000 * 4 * 100
r = 0.0105 * 100
r = 1.05%
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Twice a number is equal to 35 more than seven times the number. Find the number
amm1812

number - n

Twice a number - 2n

Seven times the number - 7n


2n = 7n +35

7n-2n = -35

5n = -35

n = - 7


Check:

2(-7) = 7(-7) +35

-14 = -49 + 35

-14 = -14 True


The number is (- 7).

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The tempature in Frwnoo is 71.8.<br><br> Round this temp. to nearest whole number.
makkiz [27]

Answer:

72

Step-by-step explanation:

Round to nearest whole number.

71.8 is rounded to 72.

72 is the answer to your question.

8 0
3 years ago
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Urgent answer needed pls​
worty [1.4K]

Answer:

48 cm²

Step-by-step explanation:

PTRS is parallelogram with the base length= 8cm and the height as same as the height of ∆SUR.

the height = 2×24/8 = 6cm

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3 years ago
What is the solution of /x2+49 = x+5?
ICE Princess25 [194]

Answer: x= 12/5 or 2 2/5

Step-by-step explanation:

6 0
3 years ago
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What are the solutions to the following system? StartLayout Enlarged left-brace 1st row negative 2 x squared + y = negative 5 2n
Yakvenalex [24]

Answer:

(\sqrt{2},-1),(-\sqrt{2},-1)

(StartRoot 2 EndRoot, negative 1) and (negative StartRoot 2 EndRoot, negative 1)

Step-by-step explanation:

we have

-2x^{2} +y=-5 ----> equation A

y=-3x^{2} +5 -----> equation B

solve by substitution

substitute equation B in equation A

-2x^{2} +(-3x^{2} +5)=-5

solve for x

-5x^{2} +5=-5

-5x^{2}=-10

x^{2}=2

x=\pm\sqrt{2}

<em>Find the value of y</em>

y=-3x^{2} +5

For x=\sqrt{2} ----> y=-3(\sqrt{2})^{2} +5=-1

For x=-\sqrt{2} ----> y=-3(-\sqrt{2})^{2} +5=-1

therefore

The solutions are

(\sqrt{2},-1),(-\sqrt{2},-1)

(StartRoot 2 EndRoot, negative 1) and (negative StartRoot 2 EndRoot, negative 1)

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