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lutik1710 [3]
3 years ago
10

Jack just opened a checking account at the bank. Within the first month, he deposited three checks for $34.98, $51.02, and $51.2

2. He withdrew $3.23 for new pencils, $4.22 for cards, and $9.79 for movies from his account in the same month.(c) At the beginning of the month Jack’s balance was $98. What was his balance at the end of the month after all of his deposits and withdrawals? please explain
Mathematics
1 answer:
laiz [17]3 years ago
8 0
$217.98. 

First, add the beginning balance of $98 to each of the deposits ($34.98, $51.02, $51.22) to get $235.22. 

Next, subtract each of the withdrawals ($3.23, $4.22, $9.79) from this total to get the ending balance of $217.98. 

Here, it's important to understand which amounts are withdrawals and which are deposits. Classifying the amounts correctly will tell you to subtract withdrawals and add deposits to the beginning balance. This ending balance will become your beginning balance for the next month. 
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What is the value of f(−1)f(−1) when f(x)=2x 2 ? enter your answer in the box. f(−1)=
sergiy2304 [10]
I hope this helps you




x= -1



f (-1)= 2. (-1)^2


f (-1)= 2.1


f (-1)= 2
6 0
3 years ago
What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth. ​
navik [9.2K]

The length of the hypothenuse or the value of x is equal to 19.53

Data;

  • hypothenuse = x
  • adjacent = 11.2
  • opposite = 16
<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

x^2 = y^2 + z^2\\

Let's substitute the values and solve for the missing side

x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53

The length of the hypothenuse or the value of x is equal to 19.53

Learn more Pythagoras theorem here;

brainly.com/question/3317136

6 0
2 years ago
Consider the following polynomial functions.<br> f(a) = (2a - 7 + a?) and g(a) = (5 – a).
mote1985 [20]

Answer:

1 false

2 true

3 true

4 false

5 true

Step-by-step explanation:

f(a) = (2a - 7 + a^2) and g(a) = (5 – a).

1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial

When added together, they will be a second degree polynomial

2. true  When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction

3.  true  f(a) + g(a) = (2a - 7 + a^2) + (5 – a)

Combining like terms = a^2 +a -2

4.  false   f(a) - g(a) = (2a - 7 + a^2) - (5 – a)

Distributing the minus sign (2a - 7 + a^2) - 5 + a

Combining like terms  a^2 +3a -12

5.  true  f(a)* g(a)  = (2a - 7 + a^2)  (5 – a).

Distribute

                       (2a - 7 + a^2)  (5)  – (2a - 7 + a^2)  (a)

                        10a -35a +5a^2 -2a^2 -7a +a^3

Combining like term

-a^3 + 3 a^2 + 17 a - 35

4 0
3 years ago
Read 2 more answers
The leopard population in an African wildlife area is currently 17. Due to a new conservation effort, conservationists hope the
kykrilka [37]

Answer:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

Step-by-step explanation:

This is an arithmetic sequence, because the population is said to increase by 4 animals yearly. The formula for the nth term in an arithmetic sequence is given by:

a{_n} = a{_1} + (n - 1)d where a_n is the nth term, [/tex]a_1[/tex] is the first term, n = 1, 2, . . . and d is the common difference.

Since they are currently 17, this implies that the first number in the population sequence will be 17. In order words, the first term is 17.

Since they increase by 4 yearly, then the common difference is 4.

Since it's for 20years, the n = 1, 2, . . ., 20. The explicit formula is therefore:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

8 0
3 years ago
a metal cube measures 2-centimeters on each side the mass of the cube is 72 grams what is the density of the metal cube​
Umnica [9.8K]

Answer:

9 gram/cm³

Step-by-step explanation:

Volume of  a square (L³) = 2³ = 8cm³

Volume of  a square (L³) = 2³ = 8cm³

But Density = mass/volume

But Density = Mass/Volume

Density = 72grams/8cm³

Density = 9grams/cm³

8 0
3 years ago
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