how many times as great as the mass of each emerald is the mass of each sapphire sapphire:0.315 emerald: 0.18

It will take 3.3 years to accumulate $28,500  on this account

According to the compound amount formula expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the principal = $25,000

A is the amount = $28,500

r is the rate in decimal = 4% = 0.04

n = 2 (semi annualy)

Substitute the given parameters into the formula as shown:

[tex]28,500=25,000(1+\frac{0.04}{2} )^{2t}\\1.14=(1+0.02)^{2t}\\1.14 = (1.02)^{2t}\\ln1.14 = 2tln1.02\\2t=\frac{ln1.14}{ln1.02}\\2t= \frac{0.13103}{0.01980}\\2t= 6.6177\\t = 3.30yrs[/tex]

Hence it will take 3.3 years to accumulate $28,500  on this account

learn more on compound interest here: https://brainly.com/question/18456266

Answer:

A'(-2,3) B'(-1,1) C'(-4,0)

Step-by-step explanation:

Translating just means adding whatever numbers to each coordinate. Point A translated from (3,0) to (-2,3) because 3-5 is -2 and 0+3 is 3.

Answer: 11.11%

17:153*100 =

(17*100):153 =

1700:153 = 11.11

9514 1404 393

Answer:

  12 6/7

Step-by-step explanation:

The product of two negative numbers is positive, so we can ignore the signs.

  (3 6/7)(3 1/3) = (3)(3) +(3)(1/3) +(6/7)(3) +(6/7)(1/3)

  = 9 + 1 + 18/7 + 2/7

  = 10 + 2 4/7 + 2/7

  = 12 6/7

Answer:

1: How much longer did he run than walk.

2: Subtraction

3: 1/8 hour

Step-by-step explanation:

1: The last sentence says what is being asked.

2: We want to see how much longer something is so it is subtraction.

3: 3/4 = 6/8    7/8 - 6/8 = 1/8

Answer:

[tex]59=3-7v[/tex]

Subtract 3 from both sides:

[tex]59-3=3-7v-3[/tex]

[tex]56=-7v[/tex]

[tex]-7v=56[/tex]

[tex]v=-8[/tex]

-8 is the only solution.

Answer:

well I think it's -6

Step-by-step explanation:

7×-6=-42+3=39

Answer:

  D)  (–1, 1)

Step-by-step explanation:

The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.

  y = y

  -x² +2 = x² +4x +4

  2x² +4x +2 = 0 . . . . . . . . . add x² -2

  2(x +1)² = 0 . . . . . . . . . factor

  x = -1 . . . . . . . . . . one solution that makes the factors zero

  y = -x² +2 = -(-1)² +2 = -1 +2 = 1

The only solution is (x, y) = (-1, 1).

Answer:

1. 3x

2. 2xy+13y

3. -2x^2+4y+2

4. -2a^3+3a^2

5. -2pq^2-7p^2q

Answer: [tex]h=\frac{-g}{g-2}[/tex]

Step-by-step explanation:

Let's solve for h.

[tex]3h+g=5h-hg[/tex]

Step 1: Add [tex]gh[/tex] to both sides.

[tex]g+3h+gh=-gh+5h+gh[/tex]

[tex]gh+g+3h=5h[/tex]

Step 2: Add [tex]-5h[/tex] to both sides.

[tex]gh+g+3h+-5h=5h+-5h[/tex]

[tex]gh+g-2h=0[/tex]

Step 3: Add [tex]-g[/tex] to both sides.

[tex]gh+g-2h+-g=0+-g[/tex]

[tex]gh-2h=-g[/tex]

Step 4: Factor out the variable [tex]h[/tex].

[tex]h(g-2)=-g[/tex]

Step 5: Divide both sides by [tex]g-2[/tex].

[tex]\frac{h(g-2)}{g-2} =\frac{-g}{g-2}[/tex]

[tex]h=\frac{-g}{g-2}[/tex]

Answer:

[tex]h=\frac{-g}{g-2}[/tex]

Answer:

4

Step-by-step explanation:

8x - 12

4(2x - 3)

Answer:

grey

Step-by-step explanation:

the greatest sum is 25

Answer:

x = −1/8y + 5/8

Step-by-step explanation:

Step 1: Add -y to both sides.

8x = −y + 5

Step 2: Divide both sides by 8.

8x/8 = −y+5/8

x= −1/8y + 5/8

Answer:

y = [tex]6\sqrt{5}[/tex]

Step-by-step explanation:

x^2 + z^2 = 29^2

x^2 = y^2 + 9^2

y^2 + 20^2 = z^2

29^2 - z^2 = y^2 + 81 (equating for x^2 from eqn 1 and 2)

substitute 3rd eqn in 4th

29^2 - (y^2 + 20^2) = y^2 + 81

841 - y^2 - 400 = y^2 + 81

441 = 2y^2 + 81

360 = 2y^2  

y^2 = 180

y = [tex]\sqrt{180}[/tex]

= [tex]\sqrt{36*5} \\[/tex]

y = [tex]6\sqrt{5}[/tex]

Answer:

195,300

Step-by-step explanation:

62 percent *315000 =

(62:100)*315000 =

(62*315000):100 =

19530000:100 = 195300

Now we have: 62 percent of 315000 = 195300

Question: What is 62 percent of 315000?

Percentage solution with steps:

Step 1: Our output value is 315000.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,315000=100%.

Step 4: Similarly, x=62%.

Step 5: This results in a pair of simple equations:

315000=100%(1).

x=62%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

315000/x = 100/62%

Step 7: Again, the reciprocal of both sides gives

x/315000 = 62/100

x=195300

Therefore, 62% of 315000 is 195300

Answer:

18 and 29

Step-by-step explanation:

8+0=8

8+1=9

9+2=11

11+3=14

14+4=18

18+5=23

23+6=29

As you can see, the number that you add to the previous number in the sequence is increased by 1 as the sequence grows in length. The number added goes from 0 to 1 to 2 to 3 and so on. :-)

Answer:

13 24 56 23 56 78 166 Yan Lang po thank

Answer:

1 million

Step-by-step explanation:

1 +1 +2 with 36 video game

36(2)=82

Answer:

0.3 inches

Step-by-step explanation:

2.5% = 0.025

The smallest frog is 12 * 0.025 inches, which is 0.3 inches.

Answer:

7

Step-by-step explanation:

15-8 is 7

16-8 is 7

17-10 is 7

18-11 is 7

this fits the eqation.

hope this helps you

Answer:

It means that the number is raised to the power of c. For example, if it is (2^3), the answer would be 8.

Step-by-step explanation:

Answer:

6720.

1680.

Step-by-step explanation:

There are 3 T's and 5 other distinct letters in this word s

The number of arrangements

= 8! / 3!

= 8*7*6*5*4

= 6720 ways.

If N and G are next to each other  we consider it to be 1 letter. Now we can have GN or NG so the answer is

(7!/3!) * 2

= 1680 ways.

Answer:

35%

Step-by-step explanation:

52/80=0.65

0.65x100=65

65% is the percent that she has read.

100%-65%= 35%

She has not read 35% of the pages.

Answer:

She hasn't read 35% of the book

Step-by-step explanation:

1st way: Since 80 pages represent 100%

52 pages represent 100 * 52 / 80 = 65% pages read

100 - 65 = 35 pages page not read.

2nd way: 80 - 52 = 28 pages not read

28 pages represent 100 * 28 / 80 = 35% pages not read

Answer:

n-5=12

This is the answer

The algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.

The given statement is "5 less than a number is 12"

According to the given question, translate the phrase into an algebraic form :

⇒ n - 5 = 12

Thus, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12"

Now the above equation solves for variable n,

⇒ n - 5 = 12

Add 5 to both sides of the above equation,

⇒ n = 12 + 5

⇒ n = 17

Therefore, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

Step-by-step explanation:

(6)10x + 4y = 14(6)

4(15x + 6y) = 21(4)

60x + 24y = 84

60x + 24y = 84

It has infinite, as if this were to be graphed the lines would overlap.

Answer:

Would be C

Step-by-step explanation:

Because they need slope intercept

Answer:

15.25 is your answer

Step-by-step explanation:

Answer:

I know it’s already been answered but I got 15.25

Step-by-step explanation:

Answer:

The dryer cost $350.

Step-by-step explanation:

Answer:

$375

Step-by-step explanation:

809 - 59 = 750

750 / 2 = 375