A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?

Answers

Answer 1

Answer:

At 5% , $300 was invested

At 15%, $4,700 was invested

Step-by-step explanation:

Let the amount invested at 5% be $x and the amount invested at 15% be $y

x + y = 5000 ••••••(i)

Let’s work with the interest;

5% of x + 15% of y = 720

0.05x + 0.15y = 720 •••••(ii)

From i;

x = 5000-y

Insert this into ii

0.05(5000-y) + 0.15y = 720

= 250 - 0.05y + 0.15y = 720

250 + 0.1y = 720

0.1y = 720-250

0.1y = 470

y = 470/0.1

y = $4700

x = 5000-y

x = 5000-4700 = $300


Related Questions

Which set of side lengths cannot make a triangle?
1.) 3 cm, 3 cm, 6 cm
2.) 3 cm, 4 cm, 5 cm
3.) 3 cm, 5 cm, 7 cm
4.) 3 cm, 6 cm, 6 cm

Answers

Answer:

Option "A" is correct answer to the following question.

Step-by-step explanation:

We know that, in triangle sum of two smaller lines ≥ largest side

So,

3 cm + 3 cm < 6 cm   [Not correct to the given situation.]

3 cm + 4 cm > 5 cm [Correct]

3 cm + 5 cm > 7 cm [Correct]

3 cm + 6 cm > 6 cm [Correct]

Answer:

A  The one that says 3 cm, 3 cm, 6 cm.

Step-by-step explanation:

40 + (52 – 7) - 4 in algebra

Answers

ANSWER ⇒ 80EXPLANATION ⇒ To solve this we can use PEMDAS, first subtract in the parentheses, than add, then finally you can subtract...YOUR ANSWER SHOULD BE 80

I think this is right, but sorry if I am wrong.[tex]GODBLESS[/tex]

what is an odd number

Answers

Answer:

An odd number is any number than can't be divided by two ! Some examples are 1, 3, and 5.

Any integer (not a fraction) that cannot be divided exactly by 2. The last digit is 1, 3, 5, 7 or 9. Example: −3, 1, 7 and 35 are all odd numbers.

Each line represents a proportional relationship. Write an equation for each line. Show your work.

Answers

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An investment portfolio offers a plan that will increase your holdings 30%

half the time, and lose you 20% the other half. Is this a worthwhile

investment for 1) one year, and 2) for the long term?

Answers

Answer:

It is a worthwhile investment for both one year and for the long term.

Step-by-step explanation:

While the investment will obtain in the first half of the year gains of 30%, and in the second half of the year losses by 20%, at the end of the year the benefit obtained by the investment will be greater than 0%. Therefore, both within a year and in the long term, it is a viable and favorable investment, since it will yield positive results at the end of the cycle.

So, for example, an initial investment of $ 100 would operate in the following way:

-First half of the year: 100 x 1.3 = 130

-Second half of the year: 130 - (130 x 0.2) = 104

Thus, at the end of the year a profit of 4% of the initial investment will be obtained.

Gcf and distributive property 60-50

Answers

Answer:

bvbhv hacvhkbqwdvwcqbkvwlpbjqcs[lvdcsbhk fveo fveqo fbveq wveqkneqv veq  fko nwvd vd

Step-by-step explanation:

Answer:

60=  3(2) and 5(2)

50= 5 and 2(5)

Step-by-step explanation:

Find the 77th term of the arithmetic sequence
-7, -2, 3, ...

Answers

Answer:

373

Step-by-step explanation:

first you find the difference between the first two numbers so we do -7 minus -2=-5 then plug it in -7+5=-2 now plug in 5 for the next two numbers -2+5=3 so now we know the rule is +5 now we do 5*76=380 then we do -7+380=373

May u please help me ill give out the brainly

Answers

Answer: The answer that I think is A

sry if wrong

It’s A your welcome

David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error?​

Answers

Answer:

David make his first error at Step 3

Step-by-step explanation:

We need to determine the error David made when finding the product of (-2.5)(-8.3)

He did the following steps

Step 1: (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2: = (–8.3)(–2) + (–8.3)(–0.5)

Step 3: = (–16.6) + (–4.15)

Step 4: = –20.75

David made a mistake in Step 3

When we multiply (-1) with (-1) we get + instead of - sign. The correct step 3 would be:

Step 3: =(16.6)(4.15)

Step 4: =20.75

So, David make his first error at Step 3

Please help I will brainliest!! Really urgent!!

Find the difference

and tell you me how you go it, not just the answer please!❤️

Answers

You have to rewrite the expresion without brakets :
5/6x - 7 - 1/2x - 6
Then calculate the difference between the fractions :
1/3x - 7 - 6
Then calculate the difference between 7 and 6
1/3x - 13
Solution : 1/3x - 13

Answer:

1/3x - 1

Step-by-step explanation:

5/6x - 7 -1/2x + 6.          - -6 turns it to +6

5/6x - 7 -3/6x + 6.          Turn 1/2x to 3/6x to make the denominators the same

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

2/6x -1

1/3x - 1

Please help me it’s due at 11:59pm today please help me will mark the brainiest please

Answers

Answer:

x=24

Step-by-step explanation:

2/3x+7=23

2/3x=16

x=24

,54466788999 divide by 9,445 9,965 / the decimal 320​

Answers

Answer:

2123 efs d

Step-by-step explanation:

fsdfesd 2 23 r  efsdfe sde34 2df

plz help out with this with steps to I have all of questions like this to answer if u can help with this I would be able to answer the rest it's for my little sis in (6 garde)​

Answers

2 is the ? Answer :)

Please answer the 2 questions from the questions on top... (8TH GRADE MATH?!)

Answers

Answer:

6. should be C and 7. should be A

At 9 o’clock in the morning, the temperature was 29 Fahrenheit it dropped 5 Fahrenheit each hour what was the temperature at 4 o’clock in the afternoon?

Answers

Answer:

-6 degrees fahrenheit

Step-by-step explanation:

7×5=35

29-35=-6

f(x) = 5/4a3 – 3a2 + 1/3a y g(x)= 2/5a3 + 3/4a - 6/5 ???
urgent!!

Answers



I believe this is the answer if you need it in this order.

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =

Answers

Answer:

It may be 220 9/23. If it's wrong sorry lol.

Step-by-step explanation:

I- uhhhhhhhhhh dkkkkk

The first 6 terms of a sequence are shown below.
96, 48, 24, 12, 6, 3,...
What is the 12th term of the sequence?

Answers

Answer:

It would either be (1.5, 1 1/2, or 3/2) - they are all the same value just written differently.

Step-by-step explanation:

going from left to right, you can see the pattern of the sequence is to divide each number by 2.

96/2 is 48; 48/2 is 24; 24/2 is 12; 12/2 is 6; 6/2 is 3

taking that knowledge, you would divide 3 by 2, resulting in 1.5 ; 2/3 ; or 1 1/2

What is B^y=x in logarithmic form?

Answers

Answer:

The logarithmic function for x = 2y is written as y = log2 x or f(x) = log2 x. The number 2 is still called the base. In general, y = logb x is read, “y equals log to the base b of x,” or more simply, “y equals log base b of x.” As with exponential functions, b > 0 and b ≠ 1

Step-by-step explanation:

ttygytex x so r5f3ygthttg

Five country music bands and 3 rock bands are signed up to perform at an all-day festival. How many different orders can the bands play in if the following conditions apply?
(a) there are no restrictions on the order
(b) all the bands of each type must perform in a row

Answers

Answer: A) 40320

Step-by-step explanation:

Jenna’s Mother is shopping for energy drinks and 12 ounce bottles for Jenna
soccer team. Store a sells a case of 18 bottles for $10

Answers

Answer:If we have to find out how much ounces are in a case the answer is 216 ounces because I don’t know the question.

Step-by-step explanation:

An adult elephant that is 10 ft tall casts a shadow that is 15 ft long. Find the length of the shadow that is a 8 ft telephone booth casts.
A. 7ft
B. 12 ft
C. 23 ft
D. 5 ft

Answers

Answer:

12 feet long bc of cross multiplying then dividing the product by 10 which gives you 12!

Juile sorted 52 sports cards. She divided into 5 equal groups. Juilie had 12 cards left over. How many cards were in each group?

Answers

Answer:

A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards.

Step-by-step explanation:

Hope this helps!

Answer:

8

Step-by-step explanation:

52-12=40

40/5=8

00:0
A toy shop purchases 125 identical stuffiedi animals for a total cost of $312.50 and sells them for $7 each
What is the percent markup?
%

Answers

Answer:

They marked it up 30 cents

Step-by-step explanation:

you do 312.50 divided by 125. Then you get 2.50. Then you multiply 7 times 125 then you get 2.80. Finally you do 2.80 minus 2.50 which equals 30 cents.

What is the value of sin(t) if Cos(t)=4/5 and t is in quadrant 1

Answers

Answer:

0.6 or 3/5

Step-by-step explanation:

If cos(t) = 4/5, then, taking the arccos of both sides, t ≈ 36.86989765. Taking the sin of that gives you 0.6, or 3/5 in fraction form.

3.5 is the answer for sure

PLEASE HELP!!!!!!!
A sea otter is underwater. Its position below sea level changes by −73.5 ft. in 3 minutes. What is the average change in the otter's position each minute?

Is the otter going deeper or toward the surface of the water? Show your work. Explain your reasoning.

Answers

Answer:

24.5

Step-by-step explanation:

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plz give brainliest

I am having trouble finding this out will anyone help?

Answers

Answer: g = 4

Step-by-step explanation:

30 = 26+g

4 = g

IS 8 BY -3 A NEGATIVE RATIONAL NUMBER

Answers

Answer:

Yes. The answer is -24.

Step-by-step explanation:

Hope this helped.

What is an advantage of renting a place to live?

Answers

From personal experiences, renting instead of owning a house gives me less expenses to worry about. It really depends on your renting agency however, for my family we have never had to worry about the cost of broken appliances (dishwasher, AC, etc), as every-time we have had one break our renting agency has paid for its repair.

Answer:

The main benefits of renting a place of residence is having fewer responsibilities than homeowners since they do not have to deal with maintenance and repairs. It also offers mobility when a location change is necessary or desirable. Taking possession of a rental house is cheaper than buying a home

a. Identify at least three cases in your daily life/work where the analytics could be applied.
b. Choose one of the cases and describe how you will approach the problem. For example, you can start from where/how you collect data, how to use the data, what kind of problem can be solved, and etc.

Answers

Explanation:

Remember, the term analytics (or data analytics) refers to the act of carefully examining raw data in other to observe if there are any trends.

a) The following are three cases in our daily life/work where analytics could be applied:

analyzing changes in cell phone charges based on call durationanalyzing changes in our sleeping pattern based on hours spent on electronic gadgetsanalyzing changes in train ticket sales based on the time of the day.

b) For example, to analyze changes in my sleeping patterns based on hours spent on electronic gadgets, I need to first know

how many hours of sleep do I have every day in a particular period of time,how many hours have I spent on electronic gadgets daily for a period of time,Next, I need to answer based on the data; Is the amount of hours I sleep lower than expected? or Do I spend more time on electronic gadgets than sleep?
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