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iris [78.8K]
3 years ago
7

A hudson valley farmer has 26 employees.He pays each employee $410 per week.After paying his workers for one week,the farmer has

$162 left in his bank account.how much money did he have at first?
Mathematics
1 answer:
Sliva [168]3 years ago
4 0

Hi there!

A valley farmer has 26 employees and he pays each of them $410 per week.

After paying them for one week he has $162 dollars left. We need to find how much money he had at first.

So the first step is to multiply $410 on 26 since he gives 410 dollars to each employee, which he has 26.

$410 · 26 = $10,660

So he had $10,660 before he paid the workers, but he still had $162 left. To find out his overall total of money he had we need to add $10,660 and $162 which will be $10,822.

The farmer had $10,822

Hope this helped!~

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Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 i
Leokris [45]

Answer:

Volume left = 404.32 cubic inches

Step-by-step explanation:

volume of a cylinder = \pir^{2}h

volume of ice cream in the cylindrical tub = \frac{22}{7} x 5^{2} x 9

                                           = \frac{22}{7} x 25 x 9

                                           = 707.1429

Volume of ice cream in the cylindrical tub is 707.14 cubic inches.

The ice cream scoop has a spherical volume, so that;

volume of a sphere = \frac{4}{3}\pir^{3}

r = \frac{2.5}{2}

 = \frac{5}{4} inches

volume of the scoop = \frac{4}{3} x \frac{22}{7} x (\frac{5}{4} )^{3}

                                  = \frac{4}{3} x \frac{22}{7} x \frac{125}{64}

                                  = 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

                                          = 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

                                                           = 404.3164

Volume of ice cream left in the tub is 404.32 cubic inches.

7 0
3 years ago
Save Work out the size of angle AED.<br> b) Work out x
Mamont248 [21]

Answer:

x = 10°

Step-by-step explanation:

a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"

   Therefore, in cyclic quadrilateral ABDE,

   m∠ABD + m∠AED = 180°

   110° + m∠AED = 180°

   m∠AED = 180° - 110°

                 = 70°

b). AD = ED [Given]

   m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]

   m∠EAD = m∠AED = 70°

   By triangle sum theorem in ΔABD,

   m∠BAD + m∠ABD + m∠ADB = 180°

   m∠BAD + 110° + 40° = 180°

   m∠BAD = 180 - 150

                 = 30°

    m∠AEB = m∠AED + m∠DAB [By angles addition postulate]

    m∠AEB = 70° + 30°          

                  = 100°

    By triangle sum theorem in the large triangle,

    x° + m∠AEB + m∠EAB = 180°

    x° + 100° + 70° = 180°

    x = 180 - 170

    x = 10°

8 0
3 years ago
Which of the following statements is true
Tresset [83]
Hello There!

The first statement is incorrect as congruent angles have the same measure but it doesn't have to 45°. It can be any value.
The second one is also incorrect. Congruent angles have the same measure but don't always total to 180° (which is what supplementary means). It would only be true if they are congruent right angles.
The third one is also incorrect as they don't always total to 90° either (Which is what complementary means). 
The fourth one is correct, this is because congruent angles are simply angles with the same measure.

In short, you're answer is 4. Congruent angles always have the same measure. 


Hope This Helps You!
Good Luck :) 
6 0
3 years ago
Susan currently has an account balance of $1,336.60. Her initial deposit on the account was $820 and it earned 4.5% simple inter
emmasim [6.3K]

The correct option will be :   14 years

<u><em>Explanation</em></u>

Current account balance of Susan is $1,336.60 and her initial deposit was $820

So, the amount of interest earned = 1336.60-820= 516.60 dollar

Formula for Simple Interest is: I= P*r*t, where I is the amount of interest, P is the initial amount, r is the rate of interest in decimal and t is the time duration in years.

Here, I= 516.60, P= 820, r=4.5% = 0.045

Now according to the above formula, we will get...

I= P*r*t\\\\ 516.60=820*0.045*t\\\\ 516.60=36.90*t\\\\ t=\frac{516.60}{36.90}= 14

So, Susan has held the account for 14 years.

3 0
3 years ago
You borrowed $1,500 at 6% compounded annually. your payments are $90 at the end of each year. how many years will you make payme
olga nikolaevna [1]
Given the formula for future value annuity:
FV of annuity=P[(1+r)^n-1]/r
where:
P=principle
r=rate
n=time
the time taken to repay the loan will be:
1500=90[(1+0.06)^n-1]/0.06
90=90[(1+0.06)^n-1]
1=(1+0.06)^n-1
1+1=(1+0.06)^n
2=1.06^n
introduce natural log
ln2=nln1.06
n=ln2/ln1.06
n=11.8957=12 years
the answer is 12 years.
5 0
3 years ago
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