1. Noah has $15,000 to invest. He invests some amount at 5% annual interest and the rest at 3% annual
interest. After one year, his total interest from both accounts is $620.
How much did he invest in each account? (Clearly label which amount is for which account in your
answer. Hint: Over a one year period, annual interest is the same as simple interest.)
[6 pts]

Answers

Answer 1

Answer:

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Step-by-step explanation:

Let the sum invested at interest rate of 5% be X

Let the sum invested at interest rate of 3% be Y

As we know

[tex]X + Y = 15000[/tex] - Eq (1)

[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]

[tex]5X + 3Y = 62000[/tex] ---Eq (2)

Multiplying Eq (1) by 3 we get -

[tex]3X + 3Y = 45000[/tex]

Substract Eq (1) from Eq (2) we get

[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%


Related Questions

HURRYYYYYYYYY


What is the domain of the function y=x?
-00 0 0 0 1

Answers

Answer:

All real numbers

Step-by-step explanation:

The domain of the function is the set of real values that can be substituted into a function to produce a valid output. Any real number can be substituted into the function (y = x), and produce a valid output. Thus, the domain is all real numbers.

Bob earns $10 per hour plus a
15 percent commission on his sales. Last week he worked h hours and had s dollars in sales. Write an equation that represents his total earning, in dollars, last week?


O 10.15hs
O 10.15(h +s)
O 10h+0.15s
O 10(h + 0.15s)

Answers

Answer:

C, 10h + 0.15s

Step-by-step explanation:

he earns 10 dollars per hour so 10h

he earns 15% or .15 per sale so .15s

add them together to get 10h + 0.15s

what is 1086.3961 rounded to the nearest square foot?

Answers

I believe the answer would be 1086.4

Please give a like if I’m right and tell me in the comments if I’m wrong.
Hope this helped :)

Which ordered pair is a solution to the inequality 7x – 3y > 10? O (1,2) O (1,0) 0 (3, 4) 0 (1, - 1)​

Answers

Step-by-step explanation:

7(3) - 3(4) > 10

21 - 12 > 10

9 > 10

0 > -1

The solution for the inequality is not in the given options.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 7x – 3y > 10

Seven x minus three times of y greater than ten

Now let us consider all the options to find the ordered pair of inequality.

When we substitute x and y value it should be greater than 10.

(1,2)

7(1)-3(2)>10

7-6>10

1>10 NO

(1,0)

7(1)-3(0)>10

7>10 NO

(3,4)

7(3)-3(4)>10

21-12>10

9>10 NO

(1,-1)

7(1)-3(-1)>10

7+3>10

10>10 NO

Hence the solution for the inequality is not in the given options.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

Find the value of x

Answers

Answer:

x=66

Step-by-step explanation:

A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x

During an economic downturn, 11 companies were sampled and asked whether they were planning to increase their workforce. Only 2 of the 11 companies were planning to increase their workforce. Use the small-sample method to construct an 80% confidence interval for the proportion of companies that are planning to increase their workforce. Round the answers to at least three decimal places.

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is _______ < p< ________

Answers

Answer:

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Only 2 of the 11 companies were planning to increase their workforce

This means that [tex]n = 11, \pi = \frac{2}{11} = 0.182[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331[/tex]

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.

find the area, round to the nearest tenth if necessary

Answers

9514 1404 393

Answer:

  78 in²

Step-by-step explanation:

The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...

  A = bh

  A = (12 in)(6.5 in) = 78 in²


Find the area of the trapezoid. Round your answer to the nearest hundredth.

Answers

Answer:

42.50 units²

Step-by-step explanation:

Area of the trapezoid = ½(AB + DC)×AD

AB = 6

DC = 11

AD = ?

Use trigonometric function, TOA to find AD:

Tan 45 = Opp/Adj

Opp = AD

Adj = 11 - 6 = 5

Tan 45 = AD/5

5 × tan 45 = AD

AD = 5

✔️Find Area of trapezoid.

Area = ½(AB + DC)×AD

= ½(11 + 6)×5

= 42.50 units²

Find AB, B equal 44° C equals 53° and b equals 7

Answers

Answer:

Step-by-step explanation:

Remark

I take it you are studying the sine law. If that is so, Then it will be set up as

Formula

x/sin(53) = 7 / sin(44)     Multiply both sides by Sin(53)

Solution

Sin(53)x/Sin(53) = 7 sin(53)/Sin(44)

x = 7*Sin(53)/Sin(44)

x = 7 * 0.7986/0.6947

x = 8.0848

Note:

The sine law is always set up by 2 ratios. It consists of the sine of an angle divided by the side opposite = equal to another angle's sine over the side oppose the second angle.

The sine law can also be set up as two ratios side opposite / sin(Angle).

please answer you will be awarded brainleist

Answers

Answer:

Hi, I'm here!

HELP GIVING 25 POINTS, PLS HELP ITS SIMPLE INEQUALITIES, PLS HELP!! ADD ME ON DISCORD simen#9651 FOR MORE PROBLEMS AND A LOT MORE POINTS I HAVE LIKE 470 POINTS, PLS HELP PLS PLS PLS HELPP!!

Answers

It is c my guy please be honest and give me brainliest. Thanks

Please help me i cannot understand these Questions

Answers

Answer:

In the last task, the result is 17+3x/6

Step-by-step explanation:

X+5/3 - 2x-7/6 + x/2

2(x+5)-(2x-7)+3x /6

2x+10-2x+7+3x /6

17+3x/6

I dunno this task above, I hope this one is correct :))

What is the solution to 5/6 X 2/3 =
? Mark the TWO correct

answers.

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

i think is 5/9 :))

I need help the area of the triangle is 24 square feet. Hat is the lengths of the base

Answers

Answer:

The answer is B the base is 16 feet

to find the base of a triangle the formula is b=2[tex]\frac{A\\}{h}[/tex]

hope this helps

if z is real then what is z*?​

Answers

Answer:

Step-by-step explanation:

z is a non negitave real number

Find Y.
Round to the nearest tenth.
Z
8 ft
17 ft
Х
Y
16 ft
Y= [?]°

Answers

Answer:

Y = 27.8°

Step-by-step explanation:

Apply the Law of Cosines which is given as c² = a² + b² - 2ab*Cos C

Where,

c = 8

a = 17

b = 16

C = Y

Plug in the values

8² = 17² + 16² - 2*17*16*Cos Y

64 = 545 - 544*Cos Y

64 - 545 = -544*Cos Y

-481 = -544*Cos Y

Divide both sides by -544

-481/-544 = Cos Y

0.884191176 = Cos Y

Y = cos^{-1}(0.884191176)

Y = 27.8478491° ≈ 27.8° (nearest tenth)

Answer:

does any body have c?

Step-by-step explanation:

What is JM? please help :((

Answers

Answer:

I think its D 30

Step-by-step explanation:

Simplify the radical expression. ⁴√81x²⁰y²⁴

I think it's either A or B​

Answers

Answer:

3x^5y^6 (a)

Step-by-step explanation:

La raiz de un productor es igual al producto de las raices de cada factor

^4√81 ^4√x^20 ^4√y^24

escriba el numero en forma exponencial an base 3

^4√3^4 ^4√x^20 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 y^6

simplifica el indice de la raiz y el exponente usando 4

3x^5y^6


Stacy walked 0.550 kilometers from her house to her school. Which of the following is equivalent to this distance?

A. 5.5 mm
B. 55 cm
C. 550 m
D. 5500 km

Answers

it is c i believe. not really sure

In the figure shown, the measures of all angles are equal, and AB = EF.

What type of transformation appears to map ABC onto EFG?

A. reflection
B. translation
C. rotation
D. none of the above

Answers

Answer:

your answer will be C. rotation

Step-by-step explanation:

hope it helps...

have a great day!

The type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation

What is ASA congruency?

If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.

For this case, both the triangles ABC and EFG satisfy the ASA congruency. Thus, they are congruent. Congruent triangle means they are just same, but might be placed different or rotated.

For this case, for making ABC look like EFG, we need to rotate it, and will have to move it too(which is called translation).

Thus, the type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation

For some cases, we may ignore translation and just call them transformed rotationally, because usually two triangles will be placed different. But in literal sense, these two transformation will be needed for sure.

Learn more about rotation of triangles here:

https://brainly.com/question/11709244

You randomly pick a nut from a can of mixed nuts 20 times
and record the results: 5 almonds, 6 peanuts, 2 hazelnuts,
3 pecans, and 4 cashews. Find the experimental probability
of the event.
1. Choosing an almond
2. Choosing a peanut
3. Choosing a peanut or cashew
4. Choosing not an almond
6. Choosing a walnut
5. Choosing not a peanut

Answers

Answer:

you have the highest chance of getting peanuts

Tell if the slope is positive, negative, zero, or no slope.
POSITIVE

Answers

Answer:

Negative

Step-by-step explanation:

The line is trending downwards, which is indicative of a negative slope.

QUESTION
The first four terms of a quadratic sequence are 8; 11; 16; 23; .-
Write down the next two terms of the quadratic sequence.
J. 2 Calculate the nth of the quadratic sequence.
i: 5.3 Determine the position of the term 2311 in the sequence.
(1)
(4)
(3)
[8]​

Answers

Answer:

b

Step-by-step explanation:

solve this question 5/8÷15/16=?​

Answers

Answer:

Hellou our answer is 2/3

Step-by-step explanation:

5/8 ÷ 15/16 = 2/3

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

What is the contrapositive of the following conditional? If a number is divisible by 10, then it is divisible by 5.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: No because that is not always true.

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

To find the value of the following expression, which task should be completed first?

Answers

Answer:

subtract inside the parentheses

Step-by-step explanation:

According to pemdas. It is parenthesis first so you subtr what’s inside first

Answer:

Subtract inside the parenthesis

Step-by-step explanation:

For this problems you have to follow PEMDAS which stand for

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

in that order

This is hard for me but easy for you so what’s the answer ?

Answers

Step-by-step explanation:

112=35+d

112-35=d

d=77

Help me to convert the following to redian (1) 300° (2)18° (3) 105°​

Answers

Answer:

(1) 5.23599

(2) 0.314159

(3) 1.8326

Simplify the radical

Answers

Answer:

4

Step-by-step explanation:

4 to the 4th power is 256

help me please :(*********​

Answers

Answer:

These will be equal, so the answer is 7

Step-by-step explanation:

Set 2x+42 and 9x-7 equal to each other, then solve.

2x+42=9x-7

-2x +7 -2x +7

49=7x

x=7

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