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storchak [24]
3 years ago
15

At the beginning of this month, the balance of Agatha's checking account was $782.39. So far this month, she has received a payc

heck via direct deposit of $932.48, been charged a monthly service fee from her bank of $20.00, used a debit card linked to her account to make a purchase of $36.82, written a check for $155.03 that has already been deposited, and deposited a check written to her for $79.13. What is the current balance of Agatha's checking account?
Mathematics
2 answers:
Leokris [45]3 years ago
6 0
Agatha started out the month with $782.39 cents. After she received her paycheck, she had a balance of $1,714.87. Agatha then had a service fee and few purchases which left the total at $1503.02. She then had an additional check written to her for $79.13. The current balance after her last deposited check was $1,582.15.
xxMikexx [17]3 years ago
3 0

Answer: $1582.15

Step-by-step explanation:

You might be interested in
What did this person do wrong? Honestly really stuck and do not remember geometry!
dmitriy555 [2]

Answer:

See below.

Step-by-step explanation:

Using the right triangle altitude theorem, the correct proportions are:

\dfrac{AB}{AC} = \dfrac{AC}{AD}

\dfrac{AB}{x} = \dfrac{x}{AD}

\dfrac{25}{x} = \dfrac{x}{16}

x^2 = 25 \times 16

x = 20

AC = 20 cm

\dfrac{AB}{CB} = \dfrac{CB}{DB}

\dfrac{AB}{y} = \dfrac{y}{DB}

\dfrac{25}{y} = \dfrac{y}{9}

y^2 = 25 \times 9

y = 15

CB = 15 cm

4 0
4 years ago
Assume that when adults with smartphones are randomly​ selected, 51​% use them in meetings or classes. If 7 adult smartphone use
Morgarella [4.7K]

Answer:

P(X \geq 3) = 1-P(X

If we find the individual probabilities we gotL

P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068  

P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494  

P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543

And replacing we got:

P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem  

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=7, p=0.51)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

For this case we want to find this probability:

P(X \geq 3)

And we can use the complement rule for this case:

P(X \geq 3) = 1-P(X

If we find the individual probabilities we gotL

P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068  

P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494  

P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543

And replacing we got:

P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895

 

7 0
3 years ago
PLS HELP ME WILL GIVE 25 PONITS AND BRAINLIEST THE BOTS KEEP ON STEALING MY POINTS
Bumek [7]

pls give me thank on my Question

5 0
3 years ago
X2−10x+29=5
Irina18 [472]

Answer:

(x-6)(x-4) = 0

Step-by-step explanation:

Subtract 5 from both sides to make the equation equal to 0. You will get the equation x2-10x+24=0. Now think of two numbers that multiply to get 24 but add to get -10. These numbers are -6 and -4. The factors of x2 are x and x which multiply to get x2.  Now put two linear factors into parathesis to get (x-6)(x-4) = 0.

7 0
3 years ago
Question 27 Mike is remodeling his kitchen. The countertop he wants costs $2.80 per square foot. How much will Mike have to spen
kolezko [41]

Mike has to spend $67.20 on his remodeling project.

Explanation:

6 ft = (4 + x) ft

4+x = 6

   x = 6-4 = 2

Area 1:

S1 = 2 × (4+2)

    = 2 × 6

    = 12 ft²

Area 2:

S2 = 2 × (4+2)

     = 2 × 6

     = 12 ft²

The area of his kitchen is S1 + S2 = 12 + 12 = 24ft²

               = 24 × 2.80

               = $67.20

The image is given below for the area of the house.

<h3>What is an example of a word problem?</h3>

Word problems normally include mathematical modeling questions, in which data and facts approximately a sure machine is given and a scholar is required to increase a model. as an instance: Jane had $five.00, then spent $2.00. How tons does she have now?

Learn more about Word Problems here brainly.com/question/13818690

#SPJ2

5 0
2 years ago
Read 2 more answers
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