Liam opened a savings account with a $400 deposit and a simple interest rate of 7.5%. If the balance of the account is now $670 and there are no deposits or withdraws, how long ago did he open the account?

Answer:

F

Step-by-step explanation:

Dependent is the y-axis and independent is the x-axis. So your answer is F.

Hope this helps, thank you !!

Answer:

25.9

Step-by-step explanation:

If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A tree casts a shadow 21 m long.

The angle of elevation of the sun is 51°.

Let h be the height of tree.

Then the height of the tree will be

tan 51° = h / 21

        h = 25.93 m

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Answer:

1 24/25 or one and twenty-four twenty-fifths (in word form).

Step-by-step explanation:

This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.

1 2/5=7/5

7/5*7/5= 49/25 or 1 24/25.

Anyhow, the answer is 1 24/25

The simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.

Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

We need to simply it in a mixed fraction,

[tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

= 7/2 × 7/2

= 49 / 2

= [tex]24\frac{1}{2}[/tex]

Hence, the simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

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Answer:

Percent error = 4.29%

Step-by-step explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

[tex] Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100[/tex]

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

[tex] Percent \; error = \frac {67 - 70 }{ 70} *100[/tex]

[tex] Percent \; error = \frac {3}{70} *100[/tex]

[tex] Percent \; error = 0.04286 *100[/tex]

Percent error = 4.29%

Carina can assemble 10 products within the give time

Answer:

900x0  

Step-by-step explanation:

>:)

Answer:

100x9, 90x10, 22.5x40

Step-by-step explanation:

There is a lot more but you got to look it up

Answer:

2 with 4 left over

Step-by-step explanation:

Answer:

See Explanation!

Step-by-step explanation:

When multiplying fractions, you do not need a common denominator, and the entire fraction gets multiplied across, however when adding or subtracting fractions, you must have a common denominator, and then only compute the numerator, as the bases are already the same

Step-by-step explanation:

area of trapezium= 1/2×sum of parallel sides× height

=1/2×(9+9+7)×8

=1/2×25×8

=100

I hope this helps( ╹▽╹ )♥

Answer:

Hope this helps

Step-by-step explanation:

Answer:

4x+12=120°

X=12-4=120°

X=8=120

X=120/8

X=15

Answer:

Step-by-step explanation:

4x + 12 =

      -12 = -12

4x = -12

/4      /4

x = -3

General term of GP: a

1

r

n−1

10

th

term of GP =a

1

r

9

=45(0.2)

9

=23040×10

−9

=2.304×10

−5

Answer:

1536

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

Here a₁ = 3 and r = 2 , then

a₁₀ = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536

Answer:

D

Step-by-step explanation:

Answer:

kaylas thinking of the number 414

Step-by-step explanation:

414 is divisable by 18 (414 divided by 23)

414 is palindrome

414 is one less than a multiple of 5 (415)

Answer:

414

Step-by-step explanation:

The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.

Answer:

Step-by-step explanation:

Yes, each input value is paired with only one output value.

The function represent the given graph is f(x)=0.67x+1.83.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

From the graph, the coordinate points are (1, 2.5) and (2.5, 3.5)

Here, slope m=(3.5-2.5)/(2.5-1)

= 1/1.5

= 0.67

Substitute m=0.67 and (x, y)=(1, 2.5) in y=mx+c, we get

2.5=0.67+c

c=1.83

Substitute m=0.67 and c=1.83 in y=mx+c, we get

y=0.67x+1.83

Therefore, the function represent the given graph is f(x)=0.67x+1.83.

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Answer:

5/24(11x+28)

Step-by-step explanation:

Answer:

-55 I believe

Step-by-step explanation:

Answer:

= 105(x+2)/33-x

Step-by-step explanation:

Given the expression

[3(x+2)*10*7]÷70 - 2(x+2)

= 3(x+2)*70÷70 - 2(x+2)

= 210(x+2)/70-2x-4

= 210(x+2)/66-2x

= 210(x+2)/2(33-x)

= 105(x+2)/33-x

Answer:

$100.02

Step-by-step explanation:

*Sales tax is always applied after the discount/coupon

1. Find how much Hana had spent on pants. Since she had bought 2 pairs of pants, and they are $26.59 each, we would have to multiply 26.59 by 2. So,

26.59 times 2 is 53.18.

Hana spent $53.18 on pants

2. Find how much Hana had spent on a coat. Since she had bought 1 coat, and they are $49.00 each, we would have to multiply 49.00 by 1. So,

49.00 times 1 is 49.

Hanna spent $49 on coats

3. Find how much Hana spent on clothes. Since she spent $53.18 on pants and $49 on coats, we would have to add 53.18 and 49. So,

53.18+49=102.18

Hanna spent $102.18 on clothes

4. Find how much Hana "spent" after using the coupon. Since the problem says the coupon helps Hana save $10, we need to subtract 10 from 102.18(the total amount of money Hana spent on clothes before using the coupon). So,

102.18-10=92.18

Hanna "spent" $92.18 on clothes after using the coupon

5. Find how much was the total purchase. Sales Tax is the amount of money that needs to be added to the price. Since the price is $92.18 and the sales tax is $7.84, we need to add 7.84 to 92.18. So,

7.84+92.18=100.02

The total purchase is $100.02

Answer:

x= 12/7

Step-by-step explanation:

3x+4x=12

Step 1: Simplify both sides of the equation.

3x+4x=12

(3x+4x)=12(Combine Like Terms)

7x=12

7x=12

Step 2: Divide both sides by 7.

7x  7 = 12 7 x= 12 7

12/7

Given:

One of the legs of a right triangle is 9 cm.

The area of the triangle is 225 cm².

To find:

The length of the other leg.

Solution:

The area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

The area of a right triangle is

[tex]Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)[/tex]

Let x be the length of other leg.

[tex]225=\dfrac{1}{2}\times (9)\times (x)[/tex]

[tex]2\times 225=9x[/tex]

[tex]\dfrac{450}{9}=x[/tex]

[tex]50=x[/tex]

Therefore, the length of the other leg is 50 cm.

Answer:

740,000

Step-by-step explanation:

that is standered form yuh

9514 1404 393

Answer:

  B.  6

Step-by-step explanation:

The longest chord of a circle is the diameter, twice the length of the radius.

  2(3 cm) = 6 cm

Answer:

B. 6

Step-by-step explanation:

A chord of a circle is a line segment where both endpoints land on the circumfrence of the circle. The longest chord would be at the diameter, which is 2r (2 x 3).

Hope this helps :)

Answer:

am not really sute bt its ..no

Answer: z

=

0.375

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

x 3

Step-by-step explanation: