Mike 24 coins in nices and dimes they are valued at $2.05. how many DIMES does he have?​

9514 1404 393

Answer:

  1. 3(0.96059601^t) = 15; t = -40.03

  2. 4.121204(1.01^t) = 8; t = 66.66

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

The solution for an exponential problem using logarithms is ...

  a·b^x = c   ⇒   log(c/a)/log(b) = x

_____

1. Rewrite: (3)(0.99^4)^t = 15  ⇒  3(0.96059601^t) = 15

Solution: t = log(15/3)/log(0.96059601) ≈ -40.03

__

2. Rewrite: 4(1.01^3)(1.01^t) = 8  ⇒  4.121204(1.01^t) = 8

Solution: t = log(8/4.121204)/log(1.01) ≈ 66.66

Answer:18

Step-by-step explanation:

Given

The school has 200 boys and 300 girls

The ratio of boys and girls is 2:3

If 45 seventh grade students are selected then the ratio of boys and girls remain the same

suppose there are 2x boys and 3x girls, such that ratio is 2:3

[tex]\Rightarrow 2x+3x=45\\\Rightarrow 5x=45\\\Rightarrow x=9[/tex]

No of the boys are [tex]2x=2\times 9=18[/tex]

Answer:

18

Step-by-step explanation:

what the another person said

Answer:

84

Step-by-step explanation:

Ab = 7 x 2 = 14

V = 14 x 6 = 84

Answer:

In about 2018, we will have the population at 30 million

Step-by-step explanation:

Here, we want to get the year in which the population of Texas will reach 30 million

What we have to do here is to substitute f(x) for 30; then get the value of x at this point

We proceed as follows;

30 = 21(1.02)^x

30/21 = 1.02^x

1.42857 = 1.02^x

ln 1. 148257 = ln 1.02^x

ln 1.148257 = x ln 1.02

ln 1.42857/ln 1.02 = x

x = 18 approximately

Adding this to the initial 2000, we have 2018

Answer:

x =10

Step-by-step explanation:

Using the pythagoras theorem om one of the right triangle;

(√74)² = (x/2)²+7²

74 = (x/2)²+49

(x/2)² = 74 - 49

(x/2)² = 25

Square root both sides

√ (x/2)² = ±√25

x/2 = ±5

x = 2 * ±5

x = ±10

Hence the value of x is 10

Answer:

3y-5 would be your equation

Step-by-step explanation:

Answer:

H-u-H?!

Step-by-step explanation:

Answer:

angle plm+angle lpm+angle pml=180°[by angle sum property]

21°+angle lpm+38°=180°

59°+ lpm=180°

lpm=180°-59°

lpm=121°

lpm+npl=180°[by limear pair]

121°+npl=180°

npl=180°-121°

npl=59°

Answer:

The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).

Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.

Here's a problem:

c ⊿ a (12)

  b (6)

C is missing, we have to find C, so here's what we do:

Step 1: You square all the numbers in the equation

12² + 6² = c²

↓

144 + 36 = c

Step 2: You add 144 + 36 and you get 180

Step 3: Then you find the square root >>  [tex]\sqrt{180\\[/tex] and you get ≈13.4

Now sometimes, the a or b would be missing, for example:

c (13)⊿ a

     b (5)

A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)

Step 1: You square all the numbers in the equation

a² + 5² = 13²

a + 25 = 169

For this next part, you must subtract a or b (in this case, b) on both sides, for example:

25 – 25 = 169 - 25

25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.

Then we find the square root of 144 and we get 12

I hope this helps :)

Answer:

175+(25*∞d)

Step-by-step explanation:

So d will represent the days which we don't know yet

100 + 50 + 25 + 25d

175+25d

and in this case it will be infinite the amount of days so

175+(25*∞d)

The total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.

Given,

Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.

We need to find what will be the total amount given by Ram to his son starting from the first day if he lives forever.

It is a sequence where each term after the first term is found by multiplying the previous terms by a common ratio.

Example:

2, 4, 8, 16, 32

Common ratio = 4/2 = 8/4 = 16/8 = 2

The sum of the nth term of a geometric sequence is given by:

S = a [ [tex]r^{n}[/tex]- 1 ) / ( r - 1 ) ] if r > 1 ______(1)

S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ] if r < 1 _______(2)

We see that,

Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.

This is a geometric sequence.

Find the sequence.

100, 50, 25, ,,,,,,, ∞

Here,

The common ratio is:

r = 50 / 100 = 25/50 = 1/2

i.e r < 1

Find the sum of at ∞.

Now,

a = 100

r = 1/2

n = ∞

From (2)

S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ]

S = 100 [ 1 - 0 ] / (1 - 0.5 ) ]

S = 100 [ 1 / 0.5 ]

S = 100 / 0.5

S = 200

Thus the total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.

Learn more about geometric sequences here:

https://brainly.com/question/11266123

#SPJ2

Answer:

1. +25

2. +14

3. -10

4. -3

5. +2

Step-by-step explanation:

I hope these help , please tell me if i got any incorrect or misunderstood!

Answer:

3x = -6у + 3 and   2y = -x+1 are the same

i dont know what the question is but this should help. they are the same line on  a graph

Step-by-step explanation:

3x = -6y + 3

2y = -x + 1 adding x on both sides and subtracting 2y on both sides

x = -2y + 1 multiply by 3

3x = -6y + 3

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

Answer:

a)=80cm^2  b)=42cm^2

Step-by-step explanation:

10x8=80

7x6=42

add cm^2 at the end

Answer: 100

Step-by-step explanation:

2 x 102 = 204 and 1 x 104 = 104.

204 — 104 = 100.

Answer:

y=4

Step-by-step explanation:

2(6 + 2y) = 28

(6 x 2 + 2y x 2) = 28

(12 + 4y) = 28

12 + 4y = 28

 12 + -12 + 4y = 28 + -12

 12 + -12 = 0

0 + 4y = 28 + -12

4y = 28 + -12

 28 + -12 = 16

4y = 16

16\4

 y = 4

Answer:

x= 2.28

or, x= 0.219

Step-by-step explanation:

2x²-5x+1 =0

a= 2, b= -5 and c= 1

x= (-b + √(b²-4ac))/2a

= (5 + √(25-8))/4

= (5 + √17)/4

Answer:168

Step-by-step explanation:

Answer:

1) [tex]9^{2}=81[/tex]

2) [tex]7=log_{2}(128)[/tex]

Step-by-step explanation:

1)

We need to use the property of power and logarithms, particularly this:

[tex]a=x^{log_{x}(a)}[/tex] (1)

So, let's take take the exponent:

[tex]9^{log_{9}}(\frac{1}{81})=9^{-2}[/tex]

[tex]\frac{1}{81}=9^{-2}[/tex]

now, we can write the negavitve power as:

[tex]\frac{1}{81}=\frac{1}{9^{2}}[/tex]

So, the aswer will be:

[tex]9^{2}=81[/tex]

2)

Applying equation 1, let's take log in base 2 on each side of the equation

[tex]log_{2}(2^{7})=log_{2}(128)[/tex]

using the power definition in log, we have:

[tex]7log_{2}(2)=log_{2}(128)[/tex]

Therefore, the answer is:

[tex]7=log_{2}(128)[/tex]

I hope it helps you!

Answer:

13

Step-by-step explanation:

8/2=16/4

=4

x-3=2.5*4

x=10+3

x=13

Answer:

6715

Step-by-step explanation:

I hope this helps, :)

Answer:

Look below.

Step-by-step explanation:

We can use the information provided to plug it into a...

Fomula to find a volume of a cylinder:

V=πr^2h

V=π(10)^2(15)

V≈4712.39ft

Answer:

C

Step-by-step explanation:

Since we are given three sides and we want to find an angle, we can use the law of cosines.

The law of cosines is given by:

[tex]b^2=a^2+c^2-2ac\cos(B)[/tex]

In this case, a = 3, b = 5, and c = 7. Therefore:

[tex](5)^2=(3)^2+(7)^2-2(3)(7)\cos(B)[/tex]

Evaluate:

[tex]25=58-42\cos(B)[/tex]

Therefore:

[tex]-42\cos(B)=-33[/tex]

Dividing both sides:

[tex]\displaystyle \cos(B)=\frac{33}{42}[/tex]

And by taking the inverse cosine of both sides:

[tex]\displaystyle \angle B=\cos^{-1}\Big(\frac{33}{42}\Big)=38.2132...\approx 38^\circ[/tex]

Our answer is C.

Answer:

38°

Step-by-step explanation:

Answer:

There's no question.

Step-by-step explanation:

Answer:

9 mm wide

Step-by-step explanation:

Perimeter = length x 2 + width x 2

34 mm = 16 mm + ?

34mm = 16 mm + 18 mm

18/2 = 9

9 mm wide

Answer:

p=2L+2W

34mm=(2×8)+2W

34mm=16+2W

2W=34mm-16mm

2W=18mm

W=9mm

Odpowiedź w załączniku

Answer:

hello as I think the answer is X= 6

Answer:

6

Step-by-step explanation:

Given

- 2(3x + 2) > - 8x + 6 ← distribute parenthesis on left side

- 6x - 4 > - 8x + 6 ( add 8x to both sides )

2x - 4 > 6 ( add 4 to both sides )

2x > 10 ( divide both sides by 2 )

x > 5

The only value on the list greater than 5 is 6

Then 6 is in the solution set

Answer:

y=1/2x-3/2

Step-by-step explanation:

m1=-2

m1m2=-1

-2m2=-1

m2=1/2

-1=1/2(1)+b

b=-3/2

y=1/2x-3/2