Last year, David opened an investment account with $6500. At the end of the year, the amount in the account had increased by 23.8%. How much is this increase in dollars? How much money was in his account at the end of last year?​

Answers

Answer 1

Answer:

The increase is $1547, he has $8047 in his account now.

Step-by-step explanation:

6500 increase 23.8% =

6500 × (1 + 23.8%) = 6500 × (1 + 0.238) = 8047

8047 - 6500 = 1547


Related Questions

Find the slope-intercept form of the equation of the line which contains the points (-2, 5) and (3, 20).

Answers

Answer:

y = 3x - 11

Step-by-step explanation:

First, use the y2-y1/x2-x1 format to find the slope: 20 - 5/3 - (-2)

(Note: change 3 - (-2) to 3 + 2 to make it easier for you)

Simplify 15/5.

Your slope would be 3/1 or 3.

Now use the slope-intercept format: y = mx + b

(Use either the first point or second point, I chose the first)

5 = 3(-2) + b

Multiply 3 and -2, which is -6.Subtract 5 from -6: -6 - 5 = -11

Your y-intercept is -11.

Hope this helped!

50 points! I only want mhanifa to help me so no one else answer unless you actually know how to do it

Answers

Answer:

Bbc

Step-by-step explanation:

Help me out here ✏️ Mathematics

Answers

Answer:

it's definitely F .. Your welcome

A bus travels 20 km in 30 minutes. What is the average speed of the
bus in km/hr?

Answers

Answer:

40 km

Step-by-step explanation:

You have 2 variables: km and minutes/hour

30 minutes turned into 60 minutes(1 hour) by multiplying by 2...

So you need to do the same for km!

20km * 2 = 40km per hour

Find the slope given: (1,5) & (3,12)
m =

Answers

Answer:

Rise (y) over Run (x)

12-5

------

3-1

7/2=m

Step-by-step explanation:

Answer:

[tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Slope, or the Rise/run formula is typically used on the coordinate plane to figure the equation of a line. Although we are not given the direct image, we can still determine the slope by using the following formula:

[tex]slope=\frac{rise}{run} =\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\=\frac{12-5}{3-1} \\=\frac{7}{2} \\slope=\frac{7}{2}[/tex]

I would be ahppy to help you again in the future, and hope that this answer gives you some clarification :D

Pls help I need a good grade

Answers

Answer:

f= -14

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

DOES ANYONE KNOW THIS???!?!?​

Answers

Answer:

15%

Step-by-step explanation:

56-32/32×100

24/32×100=75

100-75=15%

Answer:

15%

Step-by-step explanation:

I need serious help...math is so confusing ​

Answers

Answer:

B

Step-by-step explanation:

find b and round to the nearest tenth... (geometry) plz help fast i’m behind

Answers

Answer:

5.51 cm

Step-by-step explanation:

2. A container of oil holds 585 gallons. How many
containers each holding 4.5 gallons will be needed if
all the oil is to be transferred to the smaller
containers?

Answers

Answer:

130

Step-by-step explanation:

585/4.5=130

If R is the midpoint of PS with PR=6x+16 and RS=-26 then find PS

Answers

Answer:

PS = 116

Step-by-step explanation:

Given:

PR = 6x + 16

RS = 12x - 26

Required:

Find PS

Solution:

Since R is the midpoint of PS, therefore,

PR = RS

6x + 16 = 12x - 26

Collect like terms

6x - 12x = -16 - 26

-6x = -42

Divide both sides by -6

x = -42/-6

x = 7

✔️PS = PR + RS (segment addition postulate)

PS = 6x + 16 + 12x - 26

Plug in the value of x

PS = 6(7) + 16 + 12(7) - 26

PS = 42 + 16 + 84 - 26

PS = 116

Whoever replies first I give brainliest pls ASAP

Answers

Answer:

8

Step-by-step explanation:

the answer is 8 because 8 times 5 is 40

Determine which car gets the better gas mileage. *
Car
honda
toyota
distance
125
120
gallons
5
6

Answers

Answer:

honda

Step-by-step explanation:

Which of the following is a rational number?

square root of 79, square root of 80, square root of 81, square root of 82

Answers

Answer:

square root of 81.

Step-by-step explanation:

Help pls thank you so much

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

25+35=60

What is an equation of the line that passes through the point (-5 7) and is parallel to the line x-5y=15

Answers

Answer:

Step-by-step explanation:

Parallel lines have same slope.

y = mx + b

Slope = m  & y-intercept = b

x - 5y = 15

   -5y = -x + 15

      y = [tex]\frac{-1}{-5}x + \frac{15}{-5}\\\\[/tex]

[tex]y = \frac{1}{5}x - 3[/tex]

so, slope = 1/5   ; (-5 , 7)

y -y1 = m(x -x1)

[tex]y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8[/tex]

Select all of the values.

Answers

the answer is B C D

At the City Zoo, of the zoo is set aside for the monkeys. There are 4 different monkeys, each
with an equal-sized area. What fraction of the zoo is set aside for one monkey area?
Can someone plz answer me...

A.1/4

B.4/15

C.1/13

D.1/36

Answers

i think part of this question is missing between “at the city zoo” and “of the zoo.”

but i think the answer could be a.

because if there are 4 different monkeys, and they all got 1/4 of space, it would be equal.

Which numbers are irrational?

Select each correct answer.


15−−√

21−−√

−9√

14√

Answers

Answer:

Step-by-step explanation:

square root of 15 is 3.8=irrational

square root of 21 is 4.58=irrational

square root of -9 is doesn't have a real square root

square root of 14 is 3.7 =irrational

So. . . . what is ( 7 + 21 + 18 + 13 ) ?

Answers

Answer:

59

Step-by-step explanation:

Answer:

59 lol. Ty for the free points. Btw hello

Step-by-step explanation:

PLEASE ANSWER FAST I HAVE 30MINS!!!!!! Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).

Answers

Answer:

2

Step-by-step explanation:

abshxhdbxbjsbxbsbxnd

Help me please with this

Answers

Since both angle are congruent (equal/same), which means that both side is equal to 40 degrees, we will put the equation like this:

5x - 5 = 40

Now we’ll solve for x:

5x - 5 = 40
+ 5 + 5 (Add 5 to both sides)

5x = 45
—- —— (Five both side by 5)
5 5

x = 9

Now we left with x, so x is equal to 9.

Two students have a bitter disagreement about the answer to a homework question and decide to settle their differences in a duel at the golf cours. The rules of the duel are simple:

Each student takes a single shot from the 18th tee. If only one student's shot lands on the green, that student is declared the victor and the duel is over. If both students' shots land on the green, the result is a draw and the duel is over. If they both miss the green, then they repeat another round (and so on) until the duel ends in a draw or with a victor. The result of each tee shot is independent. Student A has not spent much time at the golf course, resulting in a 0.55 probability that her tee shot will hit the green. Student B golfs regularly, resulting in a 0.76 probability that his tee shot will hit the green.

Required:
a. Whatâs the probability that the duel ends in round 1?
b.Whatâs the probability that the duel ends in the 3rd round?
c. Whatâs the probability that the duel ends in a draw (i.e., that neither student wins)?

Answers

Answer:

a.) P(duel end in round 1 ) = 0.892

b.) P(duel ends in the 3rd round) = 0.010

c.) P(duel ends in a draw) = 0.418

Step-by-step explanation:

Let

P(A) - Probability that Student A will hit the green.

P(¬A) - Probability that Student A will miss the green.

P(B) - Probability that Student B will hit the green.

P(¬B) - Probability that Student B will miss the green.

Given,

P(A) = 0.55 , P(B) = 0.76

As we know that,

P(A) + P(¬A) = 1

⇒P(¬A) = 1 - P(A)

            = 1 - 0.55

            = 0.45

⇒P(¬A) = 0.45

And

P(B) + P(¬B) = 1

⇒P(¬B) = 1 - P(B)

            = 1 - 0.76

            = 0.24

⇒P(¬B) = 0.24

So, we get

P(A) = 0.55 , P(B) = 0.76

P(¬A) = 0.45, P(¬B) = 0.24

a.)

P(duel end in round 1 ) = P( both hit on green or only one hit on green )

                                     = P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ]

                                     = 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ]

                                     = 0.418 + [ 0.132 + 0.342 ]

                                     = 0.418 + [ 0.474 ]

                                     = 0.892

⇒P(duel end in round 1 ) = 0.892

b.)

P(duel ends in the 3rd round) = P( duel miss green in 1st round × duel miss green in 2nd round × both hit on green or only one hit on green in 3rd round )

                                                = [ P(¬A).P(¬B) ] × [ P(¬A).P(¬B) ] × { P(A).P(B) + [     P(A).P(¬B) + P(¬A).P(B) ] }

                                               = [ 0.45(0.24) ] ×  [ 0.45(0.24) ] × { 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ] }

                                               = [ 0.108 ] ×  [0.108] × { 0.418 + [ 0.132 + 0.342 ] }

                                               = 0.011664 × 0.892

                                               = 0.010404 ≈ 0.010

⇒P(duel ends in the 3rd round) = 0.010

c.)

P(duel ends in a draw) = P(both students' shots land on the green)

                                     = P(A).P(B)

                                     = 0.55(0.76)

                                     = 0.418

⇒P(duel ends in a draw) = 0.418

What is the quotient of 33.288 and 7.6?

Answers

Answer:

219/50 or 4.38

Step-by-step explanation:

divide


What does a discriminant value of -8
tell you about the solution of a
quadratic equation?

Answers

Answer:

Yayaya

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf No \ real \ roots/ solutions }}[/tex]

Step-by-step explanation:

The value of the discriminant (b²-4ac) can tell us 3 things:

Positive value: 2 real roots Equal to 0: 1 real root Negative value: No real roots, but imaginary roots can exist.

The quadratic equation given has a discriminant of -8. This value is negative, so we know that the quadratic has no real solutions.

I need help on this, please!

Answers

Answer:

(5,9) and (5,3)

Step-by-step explanation:

Because the point is (5,6), and the question tells you to plot two points that are three units away from (5,6) but share the same X coordinate.

The X coordinate is 5. And 6 is the Y coordinate, if we do 6-3=2. 6+3=9.

(WILL GIVE BRAINLIEST)

Suppose that IJK is isosceles with base IJ.
Suppose also that m<1 = (3x +18) and m Find the degree measure of each angle in the triangle.

Answers

Answer:

m<I=57

m<J=57

m<K=66

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

m<I= 3x+18

m<K= 5x+1

m<I is congruent to m<J.

We can plug the information we already know into the equation.

3x+18+3x+18+5x+1=180

11x+37=180

Subtract 37 from both sides.

11x=143

x=13

Now, we can find out what the angles are.

m<I= 3x+18

m<I=3(13)+18

m<I=39+18

m<I=57

We know that m<I=m<J, so they are both equal to 57 degrees.

m<J=57

Now for m<K:

m<K=5x+1

m<K=5(13)+1

m<K=65+1

m<K=66

We know this is correct because 57+57+66=180.

What is 2 1/3 divided by 1/2?

Also, I have the answer but is it 7/6 or 4 2/3?

Answers

the answer would be 4 2/3 or 14/3

Answer:

4 2/3

Step-by-step explanation:

hope this helps you in any way

I’m confused as to how to do this

Answers

answer:

you can research their distances online for suggestions

step-by-step explanation:

i don't really have anything else i can help you with, but let me know if your teacher provided you with any resources to help you with thisif i find anything out, i will edit my answer to put the right answer

5 friends share two bags of Trail Mix equally what fraction of a bag of Trail Mix does each friend get​

Answers

Answer:

5/2

Step-by-step explanation:

5 divided by 2 is 2.5 and then 2.5 as a fraction is 5/2

Answer:

0.4 or 2/5

Step-by-step explanation:

I divided 2 by 5 because 2 bags were being split by 5 friends and got 2/5 which is also 0.4.

(hope this helps :P)

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