ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8

Answer:

the height = 5cm

the base = 2cm  

Step-by-step explanation:

Answer:

1.24

Step-by-step explanation:

start by multiplying each term by the LCM which is 5

then you ahead and simply the equation

Congruent triangles have equal corresponding sides and angles.

The given parameters are:

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex]

[tex]\mathbf{EF = 14m}[/tex]

[tex]\mathbf{D E = 19m}[/tex]

[tex]\mathbf{GH = 16m}[/tex]

[tex]\mathbf{\angle D = 34^o}[/tex]

[tex]\mathbf{\angle H = 105^o}[/tex]

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex] means that triangles DEF and GHJ are congruent triangles.

So, we have:

[tex]\mathbf{DF = GH}[/tex]

This gives

[tex]\mathbf{DF = 16m}[/tex]

Also, we have:

[tex]\mathbf{JH = EF}[/tex]

This gives

[tex]\mathbf{JH = 14m}[/tex]

Also, we have:

[tex]\mathbf{GJ = DE}[/tex]

This gives

[tex]\mathbf{GJ = 19m}[/tex]

The following angles are also congruent

[tex]\mathbf{\angle F = \angle H}[/tex]

This gives

[tex]\mathbf{\angle F = 105^o}[/tex]

Also, we have:

[tex]\mathbf{\angle G = \angle D}[/tex]

This gives

[tex]\mathbf{\angle G = 34^o}[/tex]

The measure of angle J is then calculated using

[tex]\mathbf{\angle J + \angle H + \angle G = 180^o}[/tex]

This gives

[tex]\mathbf{\angle J + 105 + 34= 180^o}[/tex]

[tex]\mathbf{\angle J + 139= 180^o}[/tex]

Subtract 139 from both sides

[tex]\mathbf{\angle J = 41^o}[/tex]

Read more about congruent triangles at:

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Answer:

1. 0.0692156863

2. 0.5761904762

3. 0.3969565217

4. 2.030769231

Step-by-step explanation:

Large=40 pounds

small=30 pounds

and this is the solution

Answer:

2 <= x < 8

Step-by-step explanation:

2 is less than or equal to x and the symbol for that is <=

the least number should also be on the left side

8 is greater than x so the symbol is <

8 is the biggest number and goes on the right

Answer:

(24 × 3 × 5) / (25 × 33) =

((24 × 3 × 5) ÷ (24 × 3)) / ((25 × 33) ÷ (24 × 3)) =

(24 ÷ 24 × 3 ÷ 3 × 5)/(25 ÷ 24 × 33 ÷ 3) =

(2(4 - 4) × 1 × 5)/(2(5 - 4) × 3(3 - 1)) =

(20 × 1 × 5)/(2 × 32) =

(1 × 1 × 5)/(2 × 32) =

5/(2 × 32) =

5/(2 × 9) =

5/18

Answer:

7

Step-by-step explanation:

as x is 1

3x added 10 -3*1 add 10 -3 add 10 = 7 as it is is sign - and add the ans will be 7

Answer:

-4/5

Step-by-step explanation:

To find this we can look for the [tex]LCD[/tex] between all the numbers

Here are our [tex]LCD's[/tex] (Least Common Denominator)

-22/30 and -25/30

It wouldn't be -1 because it isn't in between those numbers

It isn't -7/10 because if we turn it into our [tex]LCD[/tex] it would be -21/30 which isn't in between those numbers

It is -4/5 because if we turn in into our [tex]LCD[/tex] it would be -24/30 which is between those numbers

This means we have our right answer we know our last one is incorrect

Answer: One half is the irreducible fraction resulting from dividing one by two (2) or the fraction ... One half often appears in mathematical equations, recipes, measurements

Step-by-step explanation: For example, if you wish to halve the fraction 5/7, write “* 2” beside the denominator “7.” There is no operation to perform to the numerator. Multiply the denominator by 2 to halve the fraction. Using the same example, 7 * 2 = 14. This means that half of 5/7 is 5/14.

Does this represent a function?

: Determine whether a relation represents a function.

:Find the value of a function.

: Determine whether a function is one to one.

:Use the vertical line test to identify functions.

:Graph the functions listed in the library functions.

No

Answer:

20(95+6d)+16(200+9d)

Step-by-step explanation:

I'm not so sure about this question since I'm also learning about algebra right now.

But we know there's 20 game booths that costs 95$ and 6$ for d days

if so first we need to know how much 1 booth cost, which is $95 plus $6 per day and as an expression: 95+6d. Then there's 20 booths so we multiply it, and we need to add parentheses according to the priority rule. So it should be 20(95+6d)?

then food booths are 16(200+9d)

then we add them so

20(95+6d)+16(200+9d)

Answer:

D: [tex]4\sqrt3[/tex]

Step-by-step explanation:

Draw the height. You notice you have split the triangle in two right triangles of sides 8 (the hypotenuse), 4 (half the horizontal side) and x. Let's apply Pythagorean theorem to the triangle: [tex]8^2 = 4^2+x^2 \rightarrow 64=16+x^2 \rightarrow x^2= 48 = 4^2\times3\\x= \sqrt48 = 4\sqrt3[/tex]

Here's ur perfect answer

Hello!

6(3-x)=-42

Use the Distributive Property:

18-6x=-42

-6x=-42-18 (move all the constants (numbers) to the right side, using the opposite operation)

-6x=-60

6x=60

Divide both sides by 6:

x=10

Hope it helps!

If you have any questions, feel free to ask in the comments! (:

~An excited gal

[tex]SparklingFlower[/tex]

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

i dont know sorry

Step-by-step explanation:

pls ask someone else thanks have a nice day

Answer:

Step-by-step explanation:

320000 is your answer

Answer:

x=-2

Step-by-step explanation:

Simplify parentheses : 0.5x+0.3=2.1x+9-5.5

Combine like terms : 0.5x+0.3=2.1x+3.5

Isolate the variable : -1.6x=3.2

Divide by -1.6 on both sides : x=-2

Answer:

x=-2

Step-by-step explanation:

1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2

multiply both sides of the equation by 4 to get rid of the fraction 1/4

2x+1.2=12(0.7x+3)-4*5 1/2

distribute 12 into parenthesis

2x+1.2= 8.4x+36-4*5 1/2

multiply -4 with 5 1/2

2x+1.2=8.4x+36-22

subtract numbers

2x+1.2= 8.4x+14

move X's to one side and numbers to another

2x-8.4x=14-1.2

collect like terms

-6.4x=12.8

divide by -6.4 to get x

x= -2

Answer: The incenter

Step-by-step explanation:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.

Answer:

150%

Step-by-step explanation:

I hope this helps

Answer:

-x^2+y+6x-8

hope this helps

Answer:

-8/3

Step-by-step explanation:

Answer:

y = 2x - (3/2)

standard equation is

y = mx + c

c is the y intercept

m is the gradient/slope

so

2 is the slope (m)

Answer:

Slope = 2

Step-by-step explanation:

Our equation: y = 2x - 3/2

=> Given equation: y = mx + b

Now, let's compare:

=> y = mx + b = y = 2x - 3/2

=> We can tell that the slope is m, which is 2.

Hoped this helped.

Answer:

4*4j +2h*2 = 16j + 4h

Answer:

Lacey could afford 4.25lb of cherries

Step-by-step explanation:

Cost of onions= 3 lb x 0.98/1=2.94

21.45-2.94=18.48$

1 lb=4.35

18.48 x 1lb of cherries/4.35=4.25lb of cherries.

Hope I helped please mark brainliest it means a lot to my progression and thanks! <3

Answer:

Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.

By Pythagorean theorem

12

2

+

x

2

=

15

2

⇒

x

2

=

15

2

−

12

2

=

81

⇒

x

=

√

81

=

9

ft

The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.

The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.

The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.

To learn more about nearest tenth refer to:

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The given terms in the question can be added by collecting like terms. So that the addition is:

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

The addition of terms involve adding like terms so as to simplify the final expression.

Thus considering the terms in the given question, the addition would give:

(8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex]) + (4

open the brackets and collect like terms to have;

8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex] + 4

8[tex]x^{2}[/tex] + 4

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

Therefore on adding the given terms, the expression derived as answer is:

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

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