Bank a charges a six dollar service fee and $.10 for each check written. Bank be charges $5.20 for each check written how many checks does a person need to write each month for the two banks to charge the same amounts in fees?

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]

applying the law of sines to find the unknown sides:

[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]

[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]

so,

[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]

Step-by-step explanation:

We are given two Triangles and we need to prove them congruent . In ∆AOC and ∆BOD , we have

[tex]\to AC = BD ( given ) \\\\\to OD = OA \\\\\to \angle CAO =\angle BDO (Since\ BD || AC ) [/tex]

Therefore by AAS congruent condition we can say that ,

[tex]\implies\red{ \triangle AOC \cong \triangle BOD }[/tex]

Hence Proved!

Answer:

130

Step-by-step explanation:

91 is 70 percent of the price

70% of 130 is 130*0.7 = 91

Answer:

Fred will have read 36 books in 12 months.

Step-by-step explanation:

We use ratios for this equation:

[tex]\frac{12}{4} =\frac{x}{12} \\\\4x=144\\x=36[/tex]

Answer:

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1

(i think)

Step-by-step explanation:

Answer:

1.42857142857

Step-by-step explanation:

Well that the answer I got on my phone.

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3^x.

Check:  If x = 0, do we get 3?  No.  Therefore we must modify the exponent:

y = 3^(1 + x)

Check:  If x = 0, do we get 3?  3^(1 + 0) = 3 (correct)

If x = 2, do we get 27?  3(1 + 2) = 3^3 + 27 (correct)

Answer:

A.

angles two and 7 do not add up to 180 so they are not supplementary

:')

Step-by-step explanation:

Given 1 yard = 0.9144m

0.9144 m = 1 yard

1 m = 1/0.9144 yards = 1.094yards

9m = 9 x 1.094 yards = 9.846yards

given 1 yard = P5.00

9.846 yards = P5.00 x 9.846 = P49.23

Answer:

32,322,237 million or 3.23million

Step-by-step explanation:

Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt

Applying the formula given above

N=Noe^rt

No = 2.62 million

r = 3.5% = 0.035

t = 2010 - 2004 = 6 years

N = 2.62 × e^6 × 0.035

N = 3.2322365171 million

= 32,322,237 millon

Approximately = 3.23 millon

Answer:

B is the answer because if you put in a calculation that what you get

Answer:

You need to divide by the cost of children and adults by their per cost to total

Answer:

[tex]2x+3y\geq 60\\x>10[/tex]

Step-by-step explanation:

We know that she will be selling bracelets for $2 each and earrings for $3 each. That means we will have 2x+3y, where x is the number of bracelets she sells and y is the number of earrings she sells. Then we will have [tex]\geq 60[/tex] because she wants to sell at least $60 worth of earrings and bracelets. That means the amount she makes from bracelets and earrings combined has to equal 60 or more, thus we use the greater than or equal to sign.

Now we have [tex]x>10[/tex], where x is still the number of bracelets sold. She said she will sell more than 10, which means we will just have [tex]>10[/tex]. If she said she wanted to sell at least 10, then it would be [tex]\geq10[/tex].

Therefore the system of inequalities is:

[tex]2x+3y\geq60\\x>10[/tex]

Hope this helps!

Answer:

I think it is 5.6e+12

Step-by-step explanation:

Answer:

$4625.10

Step-by-step explanation:

Her account already had $904.31

You now need to add $375.

Then add $500 twice.

Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.

45% of 1279.31 is 575.68

Now we add the $575.68 to $1279.31

April is a new month and she deposited $500.

45% of 1854.99 is 834.74

Add $834.74 to $1854.99

Then she deposits 500 on May, another new month.

I think this step is obvious. Just follow what you did last time.

This leaves her with $4625.10

Answer:

Step-by-step explanation:

Using the relation :

S = ut + 1/2at²

S = distance

Car A :

Initial speed, u = 40 mph

a = negative acceleration = - 1 mph

At time, t = 4

S = 40(4) - 0.5(1)(4²)

S = 160 - 8

S = 152 miles

Car B :

Initial speed, u = 30 mph

a = acceleration = 0.5 mph

S = 30(4) - 0.5(1)(4²)

S = 120 - 8

S = 118 m

Change in distance / time

Rate of change = (152 - 118)m / 4 hours

Rate of change = 34 mi / 4 hr

Rate of change = 8.5 miles per hour

Answer: 3

Step-by-step explanation:

Answer:

I am just assuming that anything below 50% (or 5/10 or .5) is unlikely, and anything above 50% is likely. If your instructor uses a different comparison, please use his or her notes to check.

.89 is likely

17% is unlikely

8/16 is neither likely nor unlikely

.37 is unlikely

Answer:

113.1cm²

Step-by-step explanation:

Answer: It is 36 pi

Step-by-step explanation:

I took the test on k-12

Answer:

3

Step-by-step explanation:

you do 11 - 2*2*2 which is equlivilate to 2^3

so your answer will be 3

Answer:

she is correct

Step-by-step explanation:

To determine the difference in height, subtract the height of the male polar bear from that of the female polar bear

279 - 156 = 123 m

Answer:

$12,5

Step-by-step explanation:

50/4=12,5$

brainliest pls

Answer:

$12.5

Step-by-step explanation:

let x be the money he make in 1 hour

50 : 4 = x : 1

4x = 50

x = 12.5

Answer:

By cross multiplication

x = 5 × 30

x = 150.

150/5 = 30

30 = 30

Hence, the value of x is 30 units.

[tex][/tex]

Answer:

2 and 3/4

Step-by-step explanation:

The tiny lines between each inch is worth 1/4.

The answers would be 2.75 or 2 and 3/4 :)

Answer:

i don no

Step-by-step explanation: