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dangina [55]
3 years ago
7

Which inequality correspondsto the following graph?​

Mathematics
1 answer:
alexira [117]3 years ago
4 0
The first one x is greater than and equal to 34
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Jovita divides $12,000 into three investments: a savings account paying 4% annual interest, a bond paying 6%, and a money market
xenn [34]

Answer:

$2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

Step-by-step explanation:

Let a, b, and c be the fractions of the $12,000 that is invested in the savings, bond, & money fund respectively.

Let S1, S2, S3 be the total monies from the savings, bond, & money fund after the year with interest respectively.

We know that a+b+c=1

and

S1+S2+S3 = 12000 + 860

S1+S2+S3 = 12860

From, the question, we know that b = 2a, and c = 1 - 3a based on the condition of 2 times more in the bond account that the savings account.

Thus;

S1 = a(12000)(1.04) = 12480a

S2 = 2a(12000)(1.06) = 25,440a

S3 = (1 - 3a)(12000)(1.09) = 13080 - 39240a

We already know that;

S1+S2+S3 = 12860

Thus, Adding the 3 equations gives;

12480a + 25,440a + 13080 - 39240a = 12860

Thus, simplifying gives;

13080 - 12860 = 39240a - 12480a - 25,440a

220 = 1320a

a = 220/1320

a = 0.1667

So,b = 2 x 0.1667 = 0.3334

c = 1 - (3 x 0.1667)

c = 1 - 0.5

c = 0.5

Thus,

S1 = 12480a = 12480 x 0.1667 ≈ $2080

S2 = 25,440a = 25440 x 0.1667 ≈ $4241

S3 = 13080 - 39240(0.1667) ≈ 6539

So, $2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

3 0
3 years ago
Read 2 more answers
Evaluate 3z + 2[z-1) when z = 5
Gnesinka [82]

Answer:

23

Step-by-step explanation:

3z + 2(z-1)

Let z=5

3*5 +2( 5-1)

15 +2(4)

15+8

23

7 0
3 years ago
Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.
irakobra [83]

Hm, it seems like his answer is off. The image is what I got.

4 0
3 years ago
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Two lines are intersected by a third line. If 2 6, which must be true about 2? 2 5 2 is complementary to 5. m2 = m8 2 is supplem
sineoko [7]
If this scenario is a pair of parallel lines intersected by a transversal then it is true that
2 = 6
Then, among the choices, the statement that is true is
2 is supplementary to 8 since 6 is supplementary to 8
By transitivity property, 2 is supplementary 8
4 0
3 years ago
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Question 15 Unsaved Which biconditional is NOT a good definition? Question 15 options: A whole number is odd if and only if the
skad [1K]

We see that the second definition is not a good definition. We want both parts to have the same truth value, but we see that we can have two angles created by a ray that are not equal. That means the antecedent is false but the consequence is true, which means it's not an iff statement, and a bad definition in this context.

5 0
3 years ago
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