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sergeinik [125]
3 years ago
10

At the beginning of this month, the balance of Mark's checking account was $275.35. So far this month, he has received a paychec

k via direct deposit of $987.25, was charged a monthly service fee by his bank of $15.00, used a debit card linked to his account to make a purchase of $43.22, wrote a check for $57.26 that has already been deposited, and deposited a check for $100.00. What is the current balance of Mark's checking account?
Mathematics
2 answers:
seraphim [82]3 years ago
8 0

Answer:

$1247.12 Apex

Step-by-step explanation:

dedylja [7]3 years ago
5 0
Starting balance: $275.35
Deposits: $987.25 + $100 = $1087.25
Withdrawals: $15.00 + $43.22 + $57.26 = $115.48

Current balance = $275.35 + $1087.25 - $115.48

Current balance = $1247.12
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The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0
3 years ago
i have math questions that i need answers for please loook at the photos, please do them in order so i know please and thankssss
nikitadnepr [17]

The first picture about the rational numbers I am not sure the answer.

In the second picture the set that are all equivalent to the fraction is the second set.

In the third picture

the equivalent expression is the first one.

In the fourth picture the correct situation is the first one about buying popcorn.

Hope this helps a little, sorry I could not help more.

7 0
3 years ago
What is the measure of ZB?<br> 28<br> 36<br> B<br> [?] degrees<br> Enter
Sindrei [870]
All triangles have a measurement of 180 degrees. Therefore, we can use this information to make an equation to find the value of angle B.

Angle B = 180 - (28 + 36)
Angle B = 180 - 64
Angle B = 116

So, angle B is equal to 116 degrees.
4 0
3 years ago
Which best describes reduced fractions that will always terminate?
lesya692 [45]

Answer:Which fraction is a terminating decimal when written in decimal form?

Step-by-step explanation:1+1=2

4 0
2 years ago
Please help math
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8 0
3 years ago
Read 2 more answers
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